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Besicovitch meets Wiener—Fourier expansions and fractal measures
Author(s):
Robert S.
Strichartz
Journal:
Bull. Amer. Math. Soc.
20
(1989),
55-59.
MSC (1985):
Primary 28A75, 42B10;
Secondary 42A75, 42B25, 46E35
MathSciNet review:
948764
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References |
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Additional information
References:
- [AH] S. Agmon and L. Hörmander, Asymptotic properties of solutions of differential equations with simple characteristics, J. d'Analyse Math. 30 (1976), 1-38. MR 466902
- [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.
- [B2] A. S. Besicovitch, Almost periodic functions, Dover, New York, 1954. MR 68029
- [F] K. J. Falconer, The geometry of fractal sets, Cambridge Univ. Press, 1985. MR 867284
- [G] M. de Guzman, Real variable methods in Fourier analysis, North-Holland, Amsterdam, 1981. MR 596037
- [S] E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970. MR 290095
- [Str1] R. S. Strichartz, Harmonic analysis as spectral theory of Laplacians, J. Funct. Anal. (to appear). MR 1025883
- [Str2] R. S. Strichartz, Fourier asymptotics of fractal measures, preprint. MR 1040961
- [W] N. Wiener, The Fourier integral and certain of its applications, Dover, New York, 1933. MR 100201
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15696-6
PII:
S 0273-0979(1989)15696-6
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