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Representation of Arithmetic Functions and Free Probability - Softcover

 
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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,...

About the Author

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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  • PublisherLAP LAMBERT Academic Publishing
  • Publication date2015
  • ISBN 10 3659385697
  • ISBN 13 9783659385698
  • BindingPaperback
  • LanguageEnglish
  • Number of pages92

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ISBN 10: 3659385697 ISBN 13: 9783659385698
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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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Ilwoo Cho
Published by LAP Lambert Academic Publishing, 2015
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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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Published by LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659385697 ISBN 13: 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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