The role of Wiener's, Beurling's and Sobolev's algebras \(A\), \(A^\infty\) and \(H^1\) in the theory of Beurling's generalized prime numbers
type: Item
instance of: scholarly article
title: The role of Wiener's, Beurling's and Sobolev's algebras \(A\), \(A^\infty\) and \(H^1\) in the theory of Beurling's generalized prime numbers
zbMATH Open document ID: 0905.11043
publication date: 1998-09-14T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75296
review text: See the joint review above (Zbl 0905.11041).
Mathematics Subject Classification ID: 11N80
Mathematics Subject Classification ID: 11M41
zbMATH DE Number: 1199198
zbMATH Keywords: generalized prime numbers
zbMATH Keywords: Beurling algebra
zbMATH Keywords: Wiener algebra
zbMATH Keywords: Sobolev algebra
author: Jean-Pierre Kahane
MaRDI profile type: Publication
OpenAlex ID: W2332873143
cites work: Q5619868
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cites work: A set of generalized numbers showing Beurling's theorem to be sharp
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cites work: Q4071319
cites work: Beurling Generalized Prime Number Systems in Which the Chebyshev Inequalities Fail
cites work: Q4213400
cites work: On Beurling's generalized prime numbers. Proof of a conjecture of Bateman and Diamond
cites work: Le rôle de l'algèbre H1 de Sobolev dans la théorie des nombres premiers généralisés de Beurling
cites work: Q4751318
cites work: Chebyshev Type Estimates for Beurling Generalized Prime Numbers
cites work: Q3254471
DOI: 10.5802/AIF.1632
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1199198