An application of Banach algebra techniques to multiplicative functions
type: Item
instance of: scholarly article
title: An application of Banach algebra techniques to multiplicative functions
zbMATH Open document ID: 0805.11067
DOI: 10.1007/BF02572405
published in: Mathematische Zeitschrift
publication date: 1994-05-10T00:00:00Z
full work available at URL: https://eudml.org/doc/174569
review text: The object of this paper is to carry out proofs of weighted versions of Wiener type inversion theorems in the theory of Banach algebras and to derive, as an application, inversion theorems and quantitative relationship properties for multiplicative arithmetic functions. This solves a problem posed by \textit{W. Schwarz} [Banach Cent. Publ. 17, 463- 494 (1985; Zbl 0598.10049)].
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11K65
Mathematics Subject Classification ID: 40E05
zbMATH DE Number: 567442
zbMATH Keywords: Dirichlet convolution
zbMATH Keywords: mean-value
zbMATH Keywords: Wiener type inversion theorems
zbMATH Keywords: multiplicative arithmetic functions
author: Lutz G. Lucht
reviewed by: Lutz G. Lucht
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 567442