Sinopsis
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.
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Reseña del editor
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.
Biografía del autor
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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Representation of Arithmetic Functions and Free Probability
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LAP Lambert Academic Publishing Okt 2015, 2015
ISBN 10: 3659385697
ISBN 13: 9783659385698
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783659385698
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Representation of Arithmetic Functions and Free Probability
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ISBN 10: 3659385697
ISBN 13: 9783659385698
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Condición: 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. Nº de ref. del artículo: 158594406
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Representation of Arithmetic Functions and Free Probability
Publicado por
LAP LAMBERT Academic Publishing Okt 2015, 2015
ISBN 10: 3659385697
ISBN 13: 9783659385698
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 92 pp. Englisch. Nº de ref. del artículo: 9783659385698
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Representation of Arithmetic Functions and Free Probability
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LAP Lambert Academic Publishing, 2015
ISBN 10: 3659385697
ISBN 13: 9783659385698
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783659385698
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Representation of Arithmetic Functions and Free Probability
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LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659385697
ISBN 13: 9783659385698
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Librería: preigu, Osnabrück, Alemania
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Taschenbuch. Condición: Neu. Representation of Arithmetic Functions and Free Probability | Ilwoo Cho (u. a.) | Taschenbuch | 92 S. | Englisch | 2015 | LAP LAMBERT Academic Publishing | EAN 9783659385698 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Nº de ref. del artículo: 104181759
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