Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Einar Hille (June 28, 1894-February 12, 1980)
HTML articles powered by AMS MathViewer

by Nelson Dunford PDF
Bull. Amer. Math. Soc. 4 (1981), 303-319
References
    0. Einar Hille, (with Hans von Euler), Über die Primäre Umwandlumg der Hexosen bei der alkoholischen Gärung, Z. Gärungsphysiologie 3 (1913), 235-240. 1. Einar Hille, Über die Variation der Bogenlänge bei konformer Abbildung von Kreisbereichen, Ark. Mat. Astronom. Fys. no. 27 11 (1917), 11 pp.
  • Einar Hille, Behavior of solutions of linear second order differential equations, Ark. Mat. 2 (1952), 25–41. MR 51995, DOI 10.1007/BF02591380
  • Einar Hille, Oscillation theorems in the complex domain, Trans. Amer. Math. Soc. 23 (1922), no. 4, 350–385. MR 1501207, DOI 10.1090/S0002-9947-1922-1501207-8
  • 4. Einar Hille, An integral equality and its applications, Proc. Nat. Acad. Sci. U.S.A. 7 (1921), 303-305. *5. On the zeros of Sturm-Liouville functions, Ark. Mat. Astronom. Fys. no. 17 16 (1922), 20 pp. 6. Einar Hille, Convex distribution of the zeros of Sturm-Liouville functions, Bull. Amer. Math. Soc. 28 (1922), 261-265. A correction, ibid., p. 462.
  • Einar Hille, Higher order Briot-Bouquet differential equations, Ark. Mat. 16 (1978), no. 2, 271–286. MR 524755, DOI 10.1007/BF02386001
  • Einar Hille, A Pythagorean functional equation, Ann. of Math. (2) 24 (1922), no. 2, 175–180. MR 1502636, DOI 10.2307/1967713
  • Einar Hille, Note on Dirichlet’s series with complex exponents, Ann. of Math. (2) 25 (1924), no. 3, 261–278. MR 1502667, DOI 10.2307/1967914
  • 10. Einar Hille, On the zeros of Mathieu functions, Proc. London Math. Soc. (2) 23 (1924), 185-237. 11. Einar Hille, On the zeros of the functions of the parabolic cylinder, Ark. Mat. Astronom. Fys. no. 26 18 (1924), 56 pp.
  • Einar Hille, An existence theorem, Trans. Amer. Math. Soc. 26 (1924), no. 2, 241–248. MR 1501276, DOI 10.1090/S0002-9947-1924-1501276-7
  • Einar Hille, On the generation of semi-groups and the theory of conjugate functions, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 21 (1952), no. 14, 13. MR 45944
  • * 14. Einar Hille, A class of functional equations, Ann. of Math. (2) 29 (1928), 215-222. *15. Einar Hille, On the zeros of the functions defined by linear differential equations of the second order, Proc. Internat. Congr. Math. (Toronto, 1924), vol. 1, pp. 511-519. 16. Einar Hille, A general type of singular point, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 488-493. *17. Einar Hille, Some remarks on Dirichlet series, Proc. London Math. Soc. (2) 25 (1926), 177-184.
  • Einar Hille, Miscellaneous questions in the theory of differential equations, Ann. of Math. (2) 27 (1926), no. 3, 195–198. MR 1502725, DOI 10.2307/1967840
  • Einar Hille, On the differentiability of semi-group operators, Acta Sci. Math. (Szeged) 12 (1950), 19–24. MR 36445
  • Einar Hille, A class of reciprocal functions, Ann. of Math. (2) 27 (1926), no. 4, 427–464. MR 1502747, DOI 10.2307/1967695
  • *23. Einar Hille, Zero point problems for linear differential equations of the second order, Mat. Tidsskrift B (1927), 25-44. 24. Einar Hille, On the logarithmic derivatives of the gamma function, Danske Vid. Selsk. Mat.-Fys. Medd. no. 1 8 (1927), 58 pp. 25. Einar Hille, (with G. Rasch), Über die Nullstellen der unvollständigen Gammafunktion P (z, p). II. Geometrisches über die Nullstellen, Math. Z. 29 (1928), 319-334. 26. Einar Hille, Note on the behavior of certain power series on the circle of convergence with application to a problem of Carleman, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 217-220. 27. Einar Hille, Note on the preceding paper by Mr. Peek, Ann. of Math. (2) 30 (1929), 270-271. 28. Einar Hille, Note on some hypergeometric series of higher order, J. London Math. Soc. 4 (1929), 50-54. *29. Einar Hille, (with J. D. Tamarkin), On the characteristic values of linear integral equations, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 911-914. 30. Einar Hille, (with J. D. Tamarkin), On the summability of Fourier series, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 915-918. 31. Einar Hille, (with J. D. Tamarkin), On the summability of Fourier series, Second Note, Proc. Nat. Acad. Sci. U.S.A. 15 (1929), 41-42.
  • E. Hille and J. D. Tamarkin, Remarks on a Known Example of a Monotone Continuous Function, Amer. Math. Monthly 36 (1929), no. 5, 255–264. MR 1521732, DOI 10.2307/2298506
  • 33. Einar Hille, Note on a power series considered by Hardy and Littlewood, J. London Math. Soc. 4 (1929), 176-182. 34. Einar Hille, (with J. D. Tamarkin), Sur une relation entre des résultants de MM. Minetti et Valiron, C. R. Acad. Sci. Paris 188 (1929), 1142. 35. Einar Hille, On functions of bounded deviation, Proc. London Math. Soc. (2) 31 (1930), 165-173.
  • Einar Hille, Bemerkung zu einer Arbeit des Herrn Müntz, Math. Z. 32 (1930), no. 1, 422–425 (German). MR 1545175, DOI 10.1007/BF01194643
  • Einar Hille and J. D. Tamarkin, On the theory of linear integral equations, Ann. of Math. (2) 31 (1930), no. 3, 479–528. MR 1502959, DOI 10.2307/1968241
  • 38. Einar Hille, (with J. D. Tamarkin), On the summability of Fourier series. Third note, Proc. Nat. Acad. Sci. U.S.A. 16 (1930), 594-598.
  • Einar Hille and J. D. Tamarkin, On the characteristic values of linear integral equations, Acta Math. 57 (1931), no. 1, 1–76. MR 1555331, DOI 10.1007/BF02403043
  • 40. Einar Hille, (with H. F. Bohnenblust), Sur la convergence absolue des séries de Dirichlet, C. R. Acad. Sci. Paris 192 (1931), 30-32.
  • H. F. Bohnenblust and Einar Hille, On the absolute convergence of Dirichlet series, Ann. of Math. (2) 32 (1931), no. 3, 600–622. MR 1503020, DOI 10.2307/1968255
  • 42. Einar Hille, (with J. D. Tamarkin), On the summability of Fourier series. Fourth note, Proc. Nat. Acad. Sci. U.S.A. 17 (1931), 376-380.
  • Einar Hille and J. D. Tamarkin, On the summability of Fourier series. I, Trans. Amer. Math. Soc. 34 (1932), no. 4, 757–783. MR 1501662, DOI 10.1090/S0002-9947-1932-1501662-X
  • 44. Einar Hille, Summation of Fourier series, Bull. Amer. Math. Soc. 38 (1932), 505-528.
  • F. Bohnenblust and E. Hille, Remarks on a problem of Toeplitz, Ann. of Math. (2) 33 (1932), no. 4, 785–786. MR 1503093, DOI 10.2307/1968222
  • 46. Einar Hille, (with J. D. Tamarkin), The summation of Fourier series by Hausdorff means, Verh. Internat. Math. Kong. (Zürich, 1932), vol. 2, pp. 131-132. 47. Einar Hille, (with J. D. Tamarkin), On the summability of Fourier series, Verh. Internat. Math. Kong. (Zürich, 1932), vol. 2, pp. 133-134.
  • Einar Hille and J. D. Tamarkin, On the summability of Fourier series. II, Ann. of Math. (2) 34 (1933), no. 2, 329–348. MR 1503110, DOI 10.2307/1968206
  • Einar Hille and J. D. Tamarkin, On the summability of fourier series. III, Math. Ann. 108 (1933), no. 1, 525–577. MR 1512863, DOI 10.1007/BF01452851
  • Einar Hille and J. D. Tamarkin, On a theorem of Paley and Wiener, Ann. of Math. (2) 34 (1933), no. 3, 606–614. MR 1503128, DOI 10.2307/1968182
  • 51. Einar Hille, (with J. D. Tamarkin), Questions of relative inclusion in the domain of Hausdorff means, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 573-577. 52. Einar Hille, Über die Nullstellen der Hermiteschen Polynome, Jber. Deutsch. Math.-Verein. 44 (1934), 162-165. 53. Einar Hille, On the complex zeros of the associated Legendre functions, J. London Math. Soc. 8 (1933), 216-217. *54. Einar Hille, (with J. D. Tamarkin), On the theory of Fourier transforms, Bull. Amer. Math. Soc. 39 (1933), 768-774. *55. Einar Hille, (with J. D. Tamarkin), A remark on Fourier transforms and functions analytic in a half-plane, Compositio Math. 1 (1934), 98-102. 56. Einar Hille, (with J. D. Tamarkin), On moment functions, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 902-908. 57. Einar Hille, (with J. D. Tamarkin), On the theory of Laplace integrals, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 908-912. 58. Einar Hille, (with J. D. Tamarkin), On the theory of Laplace integrals. II, Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 140-144.
  • Einar Hille and J. D. Tamarkin, On the theory of linear integral equations. II, Ann. of Math. (2) 35 (1934), no. 3, 445–455. MR 1503171, DOI 10.2307/1968742
  • 60. Einar Hille, (with J. D. Tamarkin), On the summability of Fourier series. Fifth note, Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 369-372. 61. Einar Hille, (with A. C. Offord and J. D. Tamarkin), Some observations on the theory of Fourier transforms, Bull. Amer. Math. Soc. 41 (1935), 427-436. *62. Einar Hille, On Laplace integrals, Ått. Skand. Matematikerkong., Stockholm, 1934, pp. 216-227.
  • Einar Hille, Notes on linear transformations. I, Trans. Amer. Math. Soc. 39 (1936), no. 1, 131–153. MR 1501838, DOI 10.1090/S0002-9947-1936-1501838-5
  • *64. Einar Hille, (with J. D. Tamarkin), On the absolute integrability of Fourier transforms, Fund. Math. 25 (1935), 329-352. 65. Einar Hille, (with Otto Szász), On the completeness of Lambert functions, Bull. Amer. Math. Soc. 42 (1936), 411-418.
  • Einar Hille and Otto Szasz, On the completeness of Lambert functions. II, Ann. of Math. (2) 37 (1936), no. 4, 801–815. MR 1503310, DOI 10.2307/1968619
  • *67. Einar Hille, A problem in "Factorisatio Numerorum", Acta Arith. 2 (1936), 134-144.
  • Einar Hille, The inversion problem of Möbius, Duke Math. J. 3 (1937), no. 4, 549–568. MR 1546010, DOI 10.1215/S0012-7094-37-00344-2
  • Einar Hille, G. Szegö, and J. D. Tamarkin, On some generalizations of a theorem of A. Markoff, Duke Math. J. 3 (1937), no. 4, 729–739. MR 1546027, DOI 10.1215/S0012-7094-37-00361-2
  • Einar Hille, Bilinear formulas in the theory of the transformation of Laplace, Compositio Math. 6 (1939), 93–102. MR 1557015
  • Einar Hille, On the Absolute Convergence of Polynomial Series, Amer. Math. Monthly 45 (1938), no. 4, 220–226. MR 1524249, DOI 10.2307/2302606
  • *72. Einar Hille, On semi-groups of transformations in Hilbert space, Proc. Nat. Acad. Sci. U.S.A. 24 (1938), 159-161.
  • Einar Hille, Notes on linear transformations. II. Analyticity of semi-groups, Ann. of Math. (2) 40 (1939), no. 1, 1–47. MR 1503446, DOI 10.2307/1968541
  • 74. Einar Hille, Analytical semi-groups in the theory of linear transformations, Ått. Skand. Matematikerkong., Helsingfors, 1938, pp. 135-145.
  • Einar Hille, Remarks concerning group spaces and vector spaces, Compositio Math. 6 (1939), 375–381. MR 1557035
  • Einar Hille, Contributions to the theory of Hermitian series, Duke Math. J. 5 (1939), 875–936. MR 870
  • Einar Hille, Sur les séries associées à une série d’Hermite, C. R. Acad. Sci. Paris 209 (1939), 714–716 (French). MR 869
  • Einar Hille, Contributions to the theory of Hermitian series. II. The representation problem, Trans. Amer. Math. Soc. 47 (1940), 80–94. MR 871, DOI 10.1090/S0002-9947-1940-0000871-3
  • Einar Hille, A class of differential operators of infinite order, I, Duke Math. J. 7 (1940), 458–495. MR 3228
  • H. L. Garabedian, Einar Hille, and H. S. Wall, Formulations of the Hausdorff inclusion problem, Duke Math. J. 8 (1941), 193–213. MR 3829, DOI 10.1215/S0012-7094-41-00813-X
  • Einar Hille, On the oscillation of differential transforms. II. Characteristic series of boundary value problems, Trans. Amer. Math. Soc. 52 (1942), 463–497. MR 7171, DOI 10.1090/S0002-9947-1942-0007171-8
  • Einar Hille, Gelfond’s solution of Hilbert’s seventh problem, Amer. Math. Monthly 49 (1942), 654–661. MR 7770, DOI 10.2307/2302573
  • Einar Hille, Representation of one-parameter semigroups of linear transformations, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 175–178. MR 6610, DOI 10.1073/pnas.28.5.175
  • Einar Hille, On the oscillation of differential transforms and the characteristic series of boundary-value problems, Univ. California Publ. Math. (N.S.) 2 (1944), no. [1, Seminar Rep. in Math. (Los Angeles)], 161–168. MR 10010
  • Einar Hille, On the analytical theory of semi-groups, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 421–424. MR 7575, DOI 10.1073/pnas.28.10.421
  • E. Hille and G. Szegö, On the complex zeros of the Bessel functions, Bull. Amer. Math. Soc. 49 (1943), 605–610. MR 8279, DOI 10.1090/S0002-9904-1943-07987-6
  • Einar Hille and Max Zorn, Open additive semi-groups of complex numbers, Ann. of Math. (2) 44 (1943), 554–561. MR 8646, DOI 10.2307/1968980
  • Einar Hille, On the theory of characters of groups and semi-groups in normed vector rings, Proc. Nat. Acad. Sci. U.S.A. 30 (1944), 58–60. MR 9702, DOI 10.1073/pnas.30.3.58
  • Einar Hille, Remarks on ergodic theorems, Trans. Amer. Math. Soc. 57 (1945), 246–269. MR 12212, DOI 10.1090/S0002-9947-1945-0012212-0
  • W. B. Caton and E. Hille, Laguerre polynomials and Laplace integrals, Duke Math. J. 12 (1945), 217–242. MR 12166, DOI 10.1215/S0012-7094-45-01217-8
  • Nelson Dunford and Einar Hille, The differentiability and uniqueness of continuous solutions of addition formulas, Bull. Amer. Math. Soc. 53 (1947), 799–805. MR 21663, DOI 10.1090/S0002-9904-1947-08891-1
  • Einar Hille, Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234–252. MR 27925, DOI 10.1090/S0002-9947-1948-0027925-7
  • Einar Hille, Sur les semi-groupes analytiques, C. R. Acad. Sci. Paris 225 (1947), 445–447 (French). MR 22316
  • Einar Hille, Remarks on a paper be Zeev Nehari, Bull. Amer. Math. Soc. 55 (1949), 552–553. MR 30000, DOI 10.1090/S0002-9904-1949-09243-1
  • Einar Hille, Les semi-groupes linéaires, C. R. Acad. Sci. Paris 228 (1949), 35–37 (French). MR 29481
  • Einar Hille, Lie theory of semi-groups of linear transformations, Bull. Amer. Math. Soc. 56 (1950), 89–114. MR 35778, DOI 10.1090/S0002-9904-1950-09367-7
  • Einar Hille, On the differentiability of semi-group operators, Acta Sci. Math. (Szeged) 12 (1950), 19–24. MR 36445
  • Einar Hille, On the integration problem for Fokker-Planck’s equation in the theory of stochastic processes, Den 11te Skandinaviske Matematikerkongress, Trondheim, 1949, Johan Grundt Tanums Forlag, Oslo, 1952, pp. 183–194. MR 0053344
  • Einar Hille, Les probabilités continues en chaîne, C. R. Acad. Sci. Paris 230 (1950), 34–35 (French). MR 32119
  • *100. Einar Hille, "Explosive" solutions of Fokker-Planck’s equation, Proc. Internat. Congr. Math. (Cambridge, Mass., 1950), vol. 1, Amer. Math. Soc., Providence, R. I., 1952, p. 453.
  • Einar Hille, On the generation of semi-groups and the theory of conjugate functions, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 21 (1952), no. 14, 13. MR 45944
  • Einar Hille, Behavior of solutions of linear second order differential equations, Ark. Mat. 2 (1952), 25–41. MR 51995, DOI 10.1007/BF02591380
  • Einar Hille, A note on Cauchy’s problem, Ann. Soc. Polon. Math. 25 (1952), 56–68 (1953). MR 0056197
  • 104. Einar Hille, Such stuff as dreams are made on-in mathematics, Amer. Sci. 41 (1953), 106-112.
  • Einar Hille, Mathematics and mathematicians from Abel to Zermelo, Math. Mag. 26 (1953), 127–146. MR 51752, DOI 10.2307/3029614
  • Einar Hille, Une généralisation du problème de Cauchy, Ann. Inst. Fourier (Grenoble) 4 (1952), 31–48 (1954) (French). MR 60731, DOI 10.5802/aif.44
  • Einar Hille, Sur le problème abstrait de Cauchy, C. R. Acad. Sci. Paris 236 (1953), 1466–1467 (French). MR 58123
  • Einar Hille, Le problème abstrait de Cauchy, Univ. e Politec. Torino Rend. Sem. Mat. 12 (1953), 95–103 (French). MR 60732
  • Einar Hille, The abstract Cauchy problem and Cauchy’s problem for parabolic differential equations, J. Analyse Math. 3 (1954), 81–196. MR 62934, DOI 10.1007/BF02803587
  • Einar Hille, An abstract formulation of Cauchy’s problem, Tolfte Skandinaviska Matematikerkongressen, Lund, 1953, Lunds Universitets Matematiska Institution, Lund, 1954, pp. 79–89. MR 0068121
  • Einar Hille, Some extremal properties of Laplace transforms, Math. Skand. 1 (1953), 227–236. MR 0060631, DOI 10.7146/math.scand.a-10381
  • Einar Hille and George Klein, Riemann’s localization theorem for Fourier series, Duke Math. J. 21 (1954), 587–591. MR 64183
  • Einar Hille, On the integration of Kolmorgoroff’s differential equations, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 20–25. MR 60668, DOI 10.1073/pnas.40.1.20
  • Einar Hille, Quelques remarques sur les équations de Kolmogoroff, Bull. Soc. Math. Phys. Serbie 5 (1953), no. 3-4, 3–14 (French). MR 61760
  • Einar Hille, Some aspect of Cauchy’s problem, Proceedings of the International Congress of Mathematicians, 1954, Amsterdam, vol. III, Erven P. Noordhoff N. V., Groningen; North-Holland Publishing Co., Amsterdam, 1956, pp. 109–116. MR 0087838
  • Einar Hille, Sur un théorème de perturbation, Univ. e Politec. Torino Rend. Sem. Mat. 13 (1954), 169–184 (French). MR 68120
  • Einar Hille, Perturbation methods in the study of Komogoroff’s equations, Proceedings of the International Congress of Mathematicians, 1954, Amsterdam, vol. III, Erven P. Noordhoff N. V., Groningen; North-Holland Publishing Co., Amsterdam, 1956, pp. 365–376. MR 0087253
  • Einar Hille, On a class of orthonormal functions, Rend. Sem. Mat. Univ. Padova 25 (1956), 214–249. MR 86974
  • Einar Hille, Quelques remarques sur l’équation de la chaleur, Rend. Mat. e Appl. (5) 15 (1956), 102–118 (French). MR 85439
  • Einar Hille, Über eine Klasse Differentialoperatoren vierter Ordnung, S.-B. Berlin. Math. Ges. 1954/ (1954/56), 39–44 (German). MR 96007
  • Einar Hille, Problème de Cauchy: existence et unicité des solutions, Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine (N.S.) 1(49) (1957), 141–143 (French). MR 99603
  • 121a. Problema lui Cauchy: Existenta si unicitatea solutiilor, Roumanian translation of [121], ibid., pp. 143-145.
  • Einar Hille, Remarques sur les systèmes des équations différentielles linéaires à une infinité d’inconnues, J. Math. Pures Appl. (9) 37 (1958), 375–383 (French). MR 104038
  • 123. Einar Hille, Green’s transforms and singular boundary value problems, Abstracts of Short Communications, Proc. Internat. Congr. Math. (Edinburgh, 1958), pp. 80-81.
  • Einar Hille, On roots and logarithms of elements of a complex Banach algebra, Math. Ann. 136 (1958), 46–57. MR 96137, DOI 10.1007/BF01350286
  • Einar Hille, On the inverse function theorem in Banach algebras, Calcutta Math. Soc. Golden Jubilee Commemoration Vol. (1958/59), Part I, Calcutta Math. Soc., Calcutta, 1963, pp. 65–69. MR 0155202
  • Einar Hille, An application of Prüfer’s method to a singular boundary value problem, Math. Z. 72 (1959/60), 95–106. MR 108606, DOI 10.1007/BF01162941
  • Einar Hille, Sur les fonctions analytiques définies par des séries d’Hermite, J. Math. Pures Appl. (9) 40 (1961), 335–342 (French). MR 143884
  • 128. Einar Hille, What is a semi-group? MAA Studies in Mathematics, vol. 3, Studies in Real and Complex Analysis (edited by I. I. Hirschman, Jr.), Prentice-Hall, Englewood Cliffs, N. J., 1965, pp. 55-66. 129. Einar Hille, Differential equations, ordinary, Encyclopaedia Britannica, vol. 7, p. 407. 130. Einar Hille, Fekete polynomials and conformal mapping, Abstract, Second Hungar. Math. Congr. (Budapest, 1960). 131. Einar Hille, Functions, analytic, Encyclopaedia Britannica, vol. 9, pp. 1005-1007.
  • Einar Hille, Linear differential equations in Banach algebras, Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 263–273. MR 0132889
  • E. Hille, Linear differential equations in Banach algebras, Studia Math. (Ser. Specjalna) Zeszyt 1 (1963), 53–54. MR 0146489
  • Einar Hille, Pathology of infinite systems of linear first order differential equations with constant coefficients, Ann. Mat. Pura Appl. (4) 55 (1961), 133–148. MR 133552, DOI 10.1007/BF02412080
  • E. Hille, Remarks on transfinite diameters, General Topology and its Relations to Modern Analysis and Algebra (Proc. Sympos., Prague, 1961) Academic Press, New York; Publ. House Czech. Acad. Sci., Prague, 1962, pp. 211–220. MR 0148883
  • Einar Hille, Remarks on differential equations in Banach algebras, Studies in mathematical analysis and related topics, Stanford Univ. Press, Stanford, Calif., 1962, pp. 140–145. MR 0163188
  • Einar Hille, Green’s transforms and singular boundary value problems, J. Math. Pures Appl. (9) 42 (1963), 331–349. MR 159977
  • Einar Hille, A note on transfinite diameters, J. Analyse Math. 14 (1965), 209–224. MR 199690, DOI 10.1007/BF02806389
  • Einar Hille, Topics in classical analysis, Lectures on Modern Mathematics, Vol. III, Wiley, New York, 1965, pp. 1–57. MR 0178099
  • Einar Hille, Some geometric extremal problems, J. Austral. Math. Soc. 6 (1966), 122–128. MR 0198349, DOI 10.1017/S1446788700004067
  • Einar Hille, Some aspects of differential equations in $B$-algebras, Functional Analysis (Proc. Conf., Irvine, Calif., 1966) Academic Press, London; Thompson Book Co., Washington, D.C., 1967, pp. 185–194. MR 0222429
  • Einar Hille, Some properties of the Jordan operator, Aequationes Math. 2 (1968), 105–110. MR 232211, DOI 10.1007/BF01833495
  • G. L. Curme and Einar Hille, Classical analytic representations, Quart. Appl. Math. 27 (1969), 185–192. MR 243074, DOI 10.1090/S0033-569X-1969-0243074-8
  • Einar Hille, On the Thomas-Fermi equation, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 7–10. MR 243145, DOI 10.1073/pnas.62.1.7
  • Einar Hille, Some aspects of the Thomas-Fermi equation, J. Analyse Math. 23 (1970), 147–170. MR 279376, DOI 10.1007/BF02795497
  • Einar Hille, Aspects of Emden’s equation, J. Fac. Sci. Univ. Tokyo Sect. I 17 (1970), 11–30. MR 283297
  • 146. Einar Hille, Remark on the Landau-Kallman-Rota inequality, Aequationes Math. 4 (1970), 239-240.
  • Einar Hille, On a class of non-linear second order differential equations, Rev. Un. Mat. Argentina 25 (1970/71), 319–334. MR 322239
  • Einar Hille, Introduction to general theory of reproducing kernels, Rocky Mountain J. Math. 2 (1972), no. 3, 321–368. MR 315109, DOI 10.1216/RMJ-1972-2-3-321
  • Einar Hille, On the Landau-Kallman-Rota inequality, J. Approximation Theory 6 (1972), 117–122. MR 343095, DOI 10.1016/0021-9045(72)90068-8
  • Functional equations and inequalities, Centro Internazionale Matematico Estivo (C.I.M.E.), Edizioni Cremonese, Rome, 1971. III Ciclo, La Mendola, August 20–28, 1970; Coordinated by B. Forte. MR 0510328
  • 151. Einar Hille, Vector meanvalues and related functional equations, 9th Internat. Sympos. Functional Equations, Roma-Elba, 1971 (manuscript lost by Roman publisher).
  • Einar Hille, Generalizations of Landau’s inequality to linear operators, Linear operators and approximation (Proc. Conf., Math. Res. Inst., Oberwolfach, 1971) Internat. Ser. Numer. Math., Vol. 20, Birkhäuser, Basel, 1972, pp. 20–32. MR 0402535
  • 153. Einar Hille, Quatre lecons sur des chapitres choicis d’analyse, Conferences at the Universidad de La Laguna, Tenerife, Spain, November 1972.
  • Einar Hille, On a class of adjoint functional equations, Acta Sci. Math. (Szeged) 34 (1973), 141–161. MR 324259
  • 155a. Einar Hille, Letter to Lars Onsager, in volume dedicated to him.
  • Einar Hille, Pseudo-poles in the theory of Emden’s equation, Proc. Nat. Acad. Sci. U.S.A. 69 (1972), 1271–1272. MR 294807, DOI 10.1073/pnas.69.5.1271
  • Einar Hille, On a class of series expansions in the theory of Emden’s equation. 2, Proc. Roy. Soc. Edinburgh Sect. A 71 (1973), no. part, 95–110. MR 326033
  • Einar Hille, A note on quadratic systems, Proc. Roy. Soc. Edinburgh Sect. A 72 (1974), no. 1, 17–37. MR 404756, DOI 10.1017/S0080454100009389
  • Einar Hille, Finiteness of the order of meromorphic solutions of some non-linear ordinary differential equations, Proc. Roy. Soc. Edinburgh Sect. A 72 (1975), no. 4, 331–336. MR 387701, DOI 10.1017/S0080454100009705
  • 159. Einar Hille, On Lappo-Danilevskij’s solution of the Riemann problem for Fuchsian equations, Aequationes Math. 12 (1975), 275-276, No. reprints, Cf. pp. 357-360 of [B12].
  • Einar Hille, On some generalizations of the Malmquist theorem, Math. Scand. 39 (1976), no. 1, 59–79. MR 454110, DOI 10.7146/math.scand.a-11644
  • Einar Hille, Remarks on Briot-Bouquet differential equations. I, Comment. Math. Special Issue 1 (1978), 119–132. Special issue dedicated to Władysław Orlicz on the occasion of his seventy-fifth birthday. MR 504157
  • 162. Einar Hille, Mathematicians from A to Z whom I have known, Ohio State University Lecture, Oct. 15, 1976 (not published). 162a. Einar Hille, Svenska matematiker, somjag känt, Lecture to the K. Vetenskaps-o. Vitterhetssamhället i Göteborg, May 9, 1977.
  • Einar Hille, Some remarks on Briot-Bouquet differential equations. II, J. Math. Anal. Appl. 65 (1978), no. 3, 572–585. MR 510472, DOI 10.1016/0022-247X(78)90165-8
  • Einar Hille, Non-linear differential equations; questions and some answers, Differential equations (Proc. Internat. Conf., Uppsala, 1977) Sympos. Univ. Upsaliensis Ann. Quingentesimum Celebrantis, No. 7, Almqvist & Wiksell, Stockholm, 1977, pp. 101–108. MR 0477210
  • Einar Hille, Non-linear differential equations; questions and some answers, Differential equations (Proc. Internat. Conf., Uppsala, 1977) Sympos. Univ. Upsaliensis Ann. Quingentesimum Celebrantis, No. 7, Almqvist & Wiksell, Stockholm, 1977, pp. 101–108. MR 0477210
  • Einar Hille, Second-order Briot-Bouquet differential equations, Acta Sci. Math. (Szeged) 40 (1978), no. 1-2, 63–72. MR 496824
  • Einar Hille, Higher order Briot-Bouquet differential equations, Ark. Mat. 16 (1978), no. 2, 271–286. MR 524755, DOI 10.1007/BF02386001
  • Einar Hille, On a special Weyl-Titchmarsh problem, Integral Equations Operator Theory 1 (1978), no. 2, 215–225. MR 510784, DOI 10.1007/BF01690983
  • Einar Hille, On a class of interpolation series, Proc. Roy. Soc. Edinburgh Sect. A 84 (1979), no. 3-4, 283–307. MR 559674, DOI 10.1017/S0308210500017169
  • Einar Hille, Hypergeometric functions and conformal mapping, J. Differential Equations 34 (1979), no. 1, 147–152. MR 549589, DOI 10.1016/0022-0396(79)90023-8
  • 171. Einar Hille, Contributions to the theory of Hermitian series. III. Meanvalues, Internat. J. Math. Math. Sci. (submitted).
  • Einar Hille, Differential operators of infinite order, Proc. Roy. Soc. Edinburgh Sect. A 86 (1980), no. 1-2, 85–101. MR 580248, DOI 10.1017/S0308210500012026
  • 173. Einar Hille, Remarks on surfaces in E, The Pleijel Festskrift, Uppsala, 1979. 174. Einar Hille, Surfaces in E, J. d’Analyse Math. Jerusalem (submitted).
  • Frank Cannonito and Einar Hille, An elementary proof of the Jordan normal form theorem based on the resolvent, Integral Equations Operator Theory 4 (1981), no. 3, 343–349. MR 623542, DOI 10.1007/BF01697970
  • Einar Hille, Essai d’une bibliographie de la représentation analytique d’une fonction monogène, Acta Math. 52 (1929), no. 1, A1–A79 (French). MR 1555281, DOI 10.1007/BF02547412
  • J. A. Shohat, Einar Hille, and Joseph L. Walsh, A Bibliography on Orthogonal Polynomials, Bulletin of the National Research Council, No. 103, National Academy of Sciences-National Research Council, Washington, D.C., 1940. MR 0003302
  • Ob. 1. Einar Hille, Thomas Hakon Gronwall-In memoriam, Bull. Amer. Math. Soc. 38 (1932), 775-786.
  • Einar Hille, Jacob David Tamarkin—his life and work, Bull. Amer. Math. Soc. 53 (1947), 440–457. MR 20066, DOI 10.1090/S0002-9904-1947-08789-9
  • Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
  • Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
  • Einar Hille, Analytic function theory. Vol. 1, Introductions to Higher Mathematics, Ginn and Company, Boston, 1959. MR 0107692
  • Einar Hille, Analytic function theory. Vol. II, Introductions to Higher Mathematics, Ginn and Company, Boston, Mass.-New York-Toronto, Ont., 1962. MR 0201608
  • Einar Hille, Analysis. Vol. I, Robert E. Krieger Publishing Co., Huntington, N.Y., 1979. Reprint of the 1964 original with corrections. MR 554233
  • Einar Hille, Analysis. Vol. I, Robert E. Krieger Publishing Co., Huntington, N.Y., 1979. Reprint of the 1964 original with corrections. MR 554233
  • B7. Einar Hille, (with S. L. Salas), First-year calculus, Blaisdell, New York, 1968, xi + 415 pp.
  • Einar Hille, Lectures on ordinary differential equations, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR 0249698
  • Einar Hille, Methods in classical and functional analysis, Addison-Wesley Series in Mathematics, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1972. MR 0463863
  • B10. Einar Hille, (with S. L. Salas), Calculus: One and several variables, Xerox Publishing Co., Waltham, Mass., 1971, vii + 800 pp.
  • Einar Hille, Classical analysis and functional analysis: selected papers, Mathematicians of Our Time, Vol. 11, MIT Press, Cambridge, Mass.-London, 1975. Edited by Robert R. Kallman. MR 0457122
  • Einar Hille, Ordinary differential equations in the complex domain, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1976. MR 0499382
Similar Articles
  • Retrieve articles in Bulletin of the American Mathematical Society with MSC (1980): 01A70
  • Retrieve articles in all journals with MSC (1980): 01A70
Additional Information
  • Journal: Bull. Amer. Math. Soc. 4 (1981), 303-319
  • MSC (1980): Primary 01A70
  • DOI: https://doi.org/10.1090/S0273-0979-1981-14895-3
  • MathSciNet review: 609040