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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.

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Besicovitch meets Wiener—Fourier expansions and fractal measures
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by Robert S. Strichartz PDF
Bull. Amer. Math. Soc. 20 (1989), 55-59
References
  • S. Agmon and L. Hörmander, Asymptotic properties of solutions of differential equations with simple characteristics, J. Analyse Math. 30 (1976), 1–38. MR 466902, DOI 10.1007/BF02786703
  • [B1] A. S. Besicovitch, A general form of the covering principle and relative differentiation of additive functions. I, II, and Corrections, Proc. Cambridge Philos. Soc. 41 (1945), 103-110; 42 (1946), 1-10; 43 (1947), 590.
  • A. S. Besicovitch, Almost periodic functions, Dover Publications, Inc., New York, 1955. MR 0068029
  • K. J. Falconer, The geometry of fractal sets, Cambridge Tracts in Mathematics, vol. 85, Cambridge University Press, Cambridge, 1986. MR 867284
  • Miguel de Guzmán, Real variable methods in Fourier analysis, Notas de Matemática [Mathematical Notes], vol. 75, North-Holland Publishing Co., Amsterdam-New York, 1981. MR 596037
  • Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
  • Robert S. Strichartz, Harmonic analysis as spectral theory of Laplacians, J. Funct. Anal. 87 (1989), no. 1, 51–148. MR 1025883, DOI 10.1016/0022-1236(89)90004-9
  • Robert S. Strichartz, Fourier asymptotics of fractal measures, J. Funct. Anal. 89 (1990), no. 1, 154–187. MR 1040961, DOI 10.1016/0022-1236(90)90009-A
  • Norbert Wiener, The Fourier integral and certain of its applications, Dover Publications, Inc., New York, 1959. MR 0100201
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 20 (1989), 55-59
  • MSC (1985): Primary 28A75, 42B10; Secondary 42A75, 42B25, 46E35
  • DOI: https://doi.org/10.1090/S0273-0979-1989-15696-6
  • MathSciNet review: 948764