Mikhail Shlemovich Birman (on the occasion of his 75th birthday)

Buslaev, V.; Solomyak, M. Z.; Yafaev, D.

doi:10.1090/S1061-0022-04-00841-6

Mikhail Shlemovich Birman (on the occasion of his 75th birthday)
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by V. S. Buslaev, M. Z. Solomyak and D. R. Yafaev
Translated by: A. Plotkin

St. Petersburg Math. J. 16 (2005), 1-8

DOI: https://doi.org/10.1090/S1061-0022-04-00841-6

Published electronically: December 14, 2004

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References

V. Buslaev, M. Solomyak, and D. Yafaev, On the scientific work of Mikhail Shlëmovich Birman, Differential operators and spectral theory, Amer. Math. Soc. Transl. Ser. 2, vol. 189, Amer. Math. Soc., Providence, RI, 1999, pp. 1–15. MR 1730499, DOI 10.1090/trans2/189/01
V. Buslaev, M. Solomyak, and D. Yafaev (eds.), Differential operators and spectral theory, American Mathematical Society Translations, Series 2, vol. 189, American Mathematical Society, Providence, RI, 1999. M. Sh. Birman’s 70th-anniversary collection; Advances in the Mathematical Sciences, 41. MR 1730498, DOI 10.1090/trans2/189
V. S. Buslaev, A. M. Vershik, I. M. Gel′fand et al., Mikhail Shlëmovich Birman (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk 55 (2000), no. 1(331), 204–207 (Russian); English transl., Russian Math. Surveys 55 (2000), no. 1, 201–205. MR 1751834, DOI 10.1070/rm2000v055n01ABEH000266
M. Sh. Birman and A. B. Pushnitskiĭ, The discrete spectrum in the gaps of the perturbed pseudo-relativistic magnetic Hamiltonian, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 249 (1997), no. Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 29, 102–117, 315 (Russian, with English and Russian summaries); English transl., J. Math. Sci. (New York) 101 (2000), no. 5, 3437–3447. MR 1698515, DOI 10.1007/BF02680144
M. Sh. Birman and T. A. Suslina, Absolute continuity of a two-dimensional periodic magnetic Hamiltonian with discontinuous vector potential, Algebra i Analiz 10 (1998), no. 4, 1–36 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 10 (1999), no. 4, 579–601. MR 1654063
M. Sh. Birman and T. A. Suslina, Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum, Mathematical results in quantum mechanics (Prague, 1998) Oper. Theory Adv. Appl., vol. 108, Birkhäuser, Basel, 1999, pp. 13–31. MR 1708785
M. Sh. Birman and T. A. Suslina, The periodic Dirac operator is absolutely continuous, Integral Equations Operator Theory 34 (1999), no. 4, 377–395. MR 1702229, DOI 10.1007/BF01272881
M. Sh. Birman and T. A. Suslina, A periodic magnetic Hamiltonian with a variable metric. The problem of absolute continuity, Algebra i Analiz 11 (1999), no. 2, 1–40 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 11 (2000), no. 2, 203–232. MR 1702587
M. Sh. Birman and T. A. Suslina, On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential, Differential equations and mathematical physics (Birmingham, AL, 1999) AMS/IP Stud. Adv. Math., vol. 16, Amer. Math. Soc., Providence, RI, 2000, pp. 41–49. MR 1764740, DOI 10.1090/amsip/016/05
Michael Birman and Tatyana Suslina, Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics, Systems, approximation, singular integral operators, and related topics (Bordeaux, 2000) Oper. Theory Adv. Appl., vol. 129, Birkhäuser, Basel, 2001, pp. 71–107. MR 1882692
M. Sh. Birman, A. Laptev, and T. A. Suslina, The discrete spectrum of a two-dimensional second-order periodic elliptic operator perturbed by a decreasing potential. I. A semi-infinite gap, Algebra i Analiz 12 (2000), no. 4, 36–78 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 12 (2001), no. 4, 535–567. MR 1793617
M. Sh. Birman, T. A. Suslina, and R. G. Shterenberg, Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves, Algebra i Analiz 12 (2000), no. 6, 140–177 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 12 (2001), no. 6, 983–1012. MR 1816514
M. Sh. Birman and M. Solomyak, On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential, J. Anal. Math. 83 (2001), 337–391. MR 1828497, DOI 10.1007/BF02790267
B. A. Amosov, M. S. Birman, M. I. Vishik et al., Mikhail Semenovich Agranovich (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk 56 (2001), no. 4(340), 163–168 (Russian); English transl., Russian Math. Surveys 56 (2001), no. 4, 777–784. MR 1861459, DOI 10.1070/RM2001v056n04ABEH000434
Michael Sh. Birman and Tat′yana A. Suslina, Absolute continuity of the spectrum of the periodic operator of elasticity theory for constant shear modulus, Nonlinear problems in mathematical physics and related topics, II, Int. Math. Ser. (N. Y.), vol. 2, Kluwer/Plenum, New York, 2002, pp. 69–74. MR 1971990, DOI 10.1007/978-1-4615-0701-7_{4}
A. A. Arkhipova, M. S. Birman, V. S. Buslaev et al., On the jubilee of Ol′ga Aleksandrovna Ladyzhenskaya, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 288 (2002), no. Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 32, 5–13 (Russian); English transl., J. Math. Sci. (N.Y.) 123 (2004), no. 6, 4523–4526. MR 1923542, DOI 10.1023/B:JOTH.0000041473.41796.59
Michael Sh. Birman, Stefan Hildebrandt, Vsevolod A. Solonnikov, and Nina N. Uraltseva (eds.), Nonlinear problems in mathematical physics and related topics. I, International Mathematical Series (New York), vol. 1, Kluwer Academic/Plenum Publishers, New York, 2002. In honor of Professor O. A. Ladyzhenskaya. MR 1971549
Michael Sh. Birman, Stefan Hildebrandt, Vsevolod A. Solonnikov, and Nina N. Uraltseva (eds.), Nonlinear problems in mathematical physics and related topics. II, International Mathematical Series (New York), vol. 2, Kluwer Academic/Plenum Publishers, New York, 2002. In honor of Professor O. A. Ladyzhenskaya. MR 1971985
M. Sh. Birman, On the averaging procedure for periodic operators in a neighborhood of an edge of an internal gap, Algebra i Analiz 15 (2003), no. 4, 61–71 (Russian); English transl., St. Petersburg Math. J. 15 (2004), no. 4, 507–513. MR 2068979, DOI 10.1090/S1061-0022-04-00819-2
M. Sh. Birman and T. A. Suslina, Periodic second-order differential operators. Threshold properties and averaging, Algebra i Analiz 15 (2003), no. 5, 1–108 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 15 (2004), no. 5, 639–714. MR 2068790, DOI 10.1090/S1061-0022-04-00827-1
Mikhail Sh. Birman and Michael Solomyak, Double operator integrals in a Hilbert space, Integral Equations Operator Theory 47 (2003), no. 2, 131–168. MR 2002663, DOI 10.1007/s00020-003-1157-8