Vetenskap & teknik
Pocket
Representation of Arithmetic Functions and Free Probability
Cho Ilwoo • Jorgensen Palle
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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.
- Format: Pocket/Paperback
- ISBN: 9783659385698
- Språk: Engelska
- Antal sidor: 92
- Utgivningsdatum: 2015-09-14
- Förlag: LAP Lambert Academic Publishing