Representation of Arithmetic Functions and Free Probability - Couverture souple

CHO, ILWOO; Jorgensen, Palle

 
9783659385698: Representation of Arithmetic Functions and Free Probability
Couverture souple
ISBN 10 : 3659385697 ISBN 13 : 9783659385698
Editeur : LAP LAMBERT Academic Publishing, 2015

Synopsis

In this monograph, we study a class of representations of arithmetic functions, and corresponding operator-theoretic and free-probabilistic properties. We associate given arithmetic functions to certain matrices, and study free-probabilistic structures on such matrices determined by prime-powers. By understanding such matrices as operators acting on an “indefinite” inner product space, we derive operator-theoretic properties of them. This study is one of the frontier works, providing connections between modern number theory, and operator theory, via free probability with help of representation theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this monograph, we study a class of representations of arithmetic functions, and corresponding operator-theoretic and free-probabilistic properties. We associate given arithmetic functions to certain matrices, and study free-probabilistic structures on such matrices determined by prime-powers. By understanding such matrices as operators acting on an “indefinite” inner product space, we derive operator-theoretic properties of them. This study is one of the frontier works, providing connections between modern number theory, and operator theory, via free probability with help of representation theory.

Biographie de l'auteur

Ilwoo Cho: Ph.D. Professor of St. Ambrose Univ., Dept. of Math. & Stat., Palle E. T. Jorgensen: Ph.D. Professor of Univ. of Iowa, Dept. of Math.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2015
Langue
anglais
ISBN 10 
3659385697
ISBN 13 
9783659385698
Reliure
Broché
Nombre de pages
92
Coordonnées du fabricant
non disponible
Personne responsable
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