On the asymptotic behavior of the Fourier transform of the indicator function of a convex set
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- by Burton Randol PDF
- Trans. Amer. Math. Soc. 139 (1969), 279-285 Request permission
References
- C. S. Herz, Fourier transforms related to convex sets, Ann. of Math. (2) 75 (1962), 81–92. MR 142978, DOI 10.2307/1970421
- Edmund Hlawka, Über Integrale auf konvexen Körpern. I, Monatsh. Math. 54 (1950), 1–36 (German). MR 37003, DOI 10.1007/BF01304101
- Walter Littman, Fourier transforms of surface-carried measures and differentiability of surface averages, Bull. Amer. Math. Soc. 69 (1963), 766–770. MR 155146, DOI 10.1090/S0002-9904-1963-11025-3
- Burton Randol, A lattice-point problem, Trans. Amer. Math. Soc. 121 (1966), 257–268. MR 201407, DOI 10.1090/S0002-9947-1966-0201407-2
- Burton Randol, On the Fourier transform of the indicator function of a planar set, Trans. Amer. Math. Soc. 139 (1969), 271–278. MR 251449, DOI 10.1090/S0002-9947-1969-0251449-9
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 139 (1969), 279-285
- MSC: Primary 42.25; Secondary 10.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0251450-5
- MathSciNet review: 0251450