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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, and operator theory, via free probability with help of representation theory.
| Autorius: | Ilwoo Cho, Palle Jorgensen, |
| Leidėjas: | LAP Lambert Academic Publishing |
| Išleidimo metai: | 2015 |
| Knygos puslapių skaičius: | 92 |
| ISBN-10: | 3659385697 |
| ISBN-13: | 9783659385698 |
| Formatas: | 220 x 150 x 7 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Representation of Arithmetic Functions and Free Probability“
