A Counterexample in the Theory of Fourier Transforms in the Complex Domain

A Counterexample in the Theory of Fourier Transforms in the Complex Domain

The Borel transform of an entire function of exponential type is defined outside a closed bounded convex set D. Paley and Wiener have given a necessary and sufficient condition on the entire function F(z) such that φ(w), the Borel transform of F(z), is contained in E<sup>2</sup>(ℂ\D)...

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Bibliographic Details
Main Author: Delaney, William Kenneth
Format: Others
Language:en
Published: 1975
Online Access:https://thesis.library.caltech.edu/14348/1/Delaney_WK_1975.pdf
Delaney, William Kenneth (1975) A Counterexample in the Theory of Fourier Transforms in the Complex Domain. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8s0b-ck03. https://resolver.caltech.edu/CaltechTHESIS:08312021-161900257 <https://resolver.caltech.edu/CaltechTHESIS:08312021-161900257>

Internet

https://thesis.library.caltech.edu/14348/1/Delaney_WK_1975.pdf
Delaney, William Kenneth (1975) A Counterexample in the Theory of Fourier Transforms in the Complex Domain. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8s0b-ck03. https://resolver.caltech.edu/CaltechTHESIS:08312021-161900257 <https://resolver.caltech.edu/CaltechTHESIS:08312021-161900257>

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