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Beschreibung
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.
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 14. September 2015 |
| Maße | 22 cm x 15 cm x 0.7 cm |
| Gewicht | 155 Gramm |
| Format | Softcover |
| ISBN-13 | 9783659385698 |
| Seiten | 92 |
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