Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem
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- by Roger A. Horn
- Proc. Amer. Math. Soc. 52 (1975), 263-270
- DOI: https://doi.org/10.1090/S0002-9939-1975-0374823-7
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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.References
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Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 263-270
- MSC: Primary 43A35; Secondary 60E05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0374823-7
- MathSciNet review: 0374823