ACTIONS OF ARITHMETIC FUNCTIONS ON MATRICES AND CORRESPONDING REPRESENTATIONS

Ilwoo Cho; Palle Jorgensen

doi:10.15352/afa/1396833506

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ACTIONS OF ARITHMETIC FUNCTIONS ON MATRICES AND CORRESPONDING REPRESENTATIONS

Journal article

Open access

Peer reviewed

ACTIONS OF ARITHMETIC FUNCTIONS ON MATRICES AND CORRESPONDING REPRESENTATIONS

Ilwoo Cho and Palle Jorgensen

Annals of functional analysis, Vol.5(2), pp.90-117

01/01/2014

DOI: 10.15352/afa/1396833506

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Abstract

In this paper, we study a class of representations of arithmetic functions, and corresponding operator-theoretic and free probabilistic properties. We associate given arithmetic functions f to certain matrices alpha(n)(f).

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Details

Title: Subtitle: ACTIONS OF ARITHMETIC FUNCTIONS ON MATRICES AND CORRESPONDING REPRESENTATIONS
Creators: Ilwoo Cho - Ambrose University
Palle Jorgensen - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Resource Type: Journal article
Publication Details: Annals of functional analysis, Vol.5(2), pp.90-117
DOI: 10.15352/afa/1396833506
ISSN: 2639-7390
eISSN: 2008-8752
Publisher: SPRINGER BASEL AG
Number of pages: 28
Language: English
Date published: 01/01/2014
Academic Unit: Mathematics
Record Identifier: 9984240775102771

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