The Paley-Wiener theorem in the language of Taylor expansion coefficients
type: Item
instance of: scholarly article
title: The Paley-Wiener theorem in the language of Taylor expansion coefficients
zbMATH Open document ID: 1259.42031
DOI: 10.1134/S1064562412050237
author: Huy Bang Ha
author: Nhat Huy Vu
published in: Doklady Mathematics
publication date: 2013-01-14T00:00:00Z
review text: This paper gives a characterization of distributions with support on some special compact sets, such as compact sets with the \(g\)-property, in terms of the coefficients of the Taylor expansion of its Fourier transform.
Mathematics Subject Classification ID: 42C99
Mathematics Subject Classification ID: 46F99
Mathematics Subject Classification ID: 42A63
zbMATH DE Number: 6124980
zbMATH Keywords: Paley-Wiener theorem
zbMATH Keywords: distribution
zbMATH Keywords: Taylor expansion
zbMATH Keywords: g-property
MaRDI profile type: Publication
cites work: Real Paley–Wiener theorems and local spectral radius formulas
cites work: A Paley-Wiener theorem for real reductive groups
cites work: On a Family of Distributions Obtained from Eisenstein Series I: Application of the Paley-Wiener Theorem
cites work: A Paley-Wiener theorem for the Askey-Wilson function transform
cites work: A Paley-Wiener theorem for reductive symmetric spaces
cites work: An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
cites work: Paley–Wiener theorems for the Dunkl transform
cites work: A local Paley-Wiener theorem for compact symmetric spaces
cites work: Q4760427
cites work: Functions of exponential type
full work available at URL: s1064562412050237
OpenAlex ID: W1968339811
description: scientific article; zbMATH DE number 6124980