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Krein-Space Representations of Arithmetic Functions Determined by Primes
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Krein-Space Representations of Arithmetic Functions Determined by Primes

Ilwoo Cho and Palle E. T Jorgensen
Algebras and representation theory, Vol.17(6), pp.1809-1841
12/01/2014
DOI: 10.1007/s10468-014-9473-z

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Abstract

In this paper, we study representations of the algebra generated by all arithmetic functions, determined by fixed primes (or prime numbers). The main purposes of this paper are (i) to establish nice representational models of under primes, (ii) to study fundamental properties of such representations, (iii) to investigate how is acting as operators in representations, and (iv) to consider new free probability models on Krein-space operator algebras.
Mathematics Physical Sciences Science & Technology

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