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,...
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.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 92 pp. Englisch. Seller Inventory # 9783659385698
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783659385698
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: CHO ILWOOIlwoo 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.In this monograph, we study a class of representations of arithmetic fun. Seller Inventory # 158594406
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