Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability

A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite functions, called the Riesz–Coxeter product, from the Riesz product on the Rademacher (Abelian Coxeter) group to arbitrary Coxeter group is obtained....

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Bibliographic Details

Published in:	Communications in mathematical physics Vol. 361; no. 2; pp. 583 - 604
Main Authors:	Bożejko, Marek, Gal, Światosław R., Młotkowski, Wojciech
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018 Springer Nature B.V
Subjects:	Classical and Quantum Gravitation Color Complex Systems Fourier analysis Harmonic analysis Mathematical and Computational Physics Mathematical Physics Operators (mathematics) Permutations Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
ISSN:	0010-3616, 1432-0916
Online Access:	Get full text
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