The asymptotic behavior of a Fourier transform and the localization property for eigenfunction expansions for some partial differential operators

Burton Randol

Type: Article

Publication Date: 1972-01-01

Citations: 5

DOI: https://doi.org/10.1090/s0002-9947-1972-0296600-x

Abstract

The asymptotic behavior of a certain Fourier transform is investigated, and the result is applied to obtain a localization theorem for elliptic operators on the torus.

Locations

Transactions of the American Mathematical Society - View - PDF

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Works Cited by This (11)

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+	The general theory of Dirichlet's series	1915	G. H. Hardy
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+ PDF Chat	Estimates for the Fourier transform of the characteristic function of a convex set	1971	Ingvar L Svensson
+	�ber Integrale auf konvexen K�rpern I	1950	Edmund Hlawka
+ PDF Chat	Localization and summability of multiple fourier series	1958	Elias M. Stein
+	Fourier Transforms Related to Convex Sets	1962	Carl Herz
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+ PDF Chat	Summation of multiple Fourier series by spherical means	1936	Salomon Bochner
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