Work

On a Theorem of Paley and Wiener

Year: 1991

Type: article

Abstract: A famous theorem of Paley and Wiener gives necessary and sufficient conditions for a function to be the amplitude of the Fourier transform of a function that vanishes on the negative real line. We find similar conditions sufficient to conclude that the inverse transform decays exponentially at minus infinity.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-1991-1070522-6

Author: Richard T. Miller

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, National Eye Institute

Award: Human Cone Transduction

OpenAlex ID: W2001736596