Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem-Reference-Cited by-同舟云学术

Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem

Published:1975 Issue:1 Volume:52 Page:263-270
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Horn Roger A.

Abstract

New characterizations are given of the classes of functions on a locally compact Abelian group which are Fourier-Stieltjes transforms of: bounded measures, nonnegative bounded measures, and integrable functions. These characterizations are all of the same form, viz., that a positive definite Hermitian form dominate a symmetric quadratic form.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-052-01/S0002-9939-1975-0374823-7/S0002-9939-1975-0374823-7.pdf

Reference10 articles.

1. Necessary and sufficient conditions in the theory of Fourier transforms;Berry, Andrew C.;Ann. of Math. (2),1931

2. Annals of Mathematics Studies, No. 42;Bochner, Salomon,1959

3. A theorem on Fourier-Stieltjes integrals;Bochner, S.;Bull. Amer. Math. Soc.,1934

4. Characterizations of Fourier-Stieltjes transforms;Eberlein, W. F.;Duke Math. J.,1955

5. On inequalities between Hermitian and symmetric forms;Horn, Roger A.;Linear Algebra Appl.,1975

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