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- Title
Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability.
- Authors
Bożejko, Marek; Gal, Światosław R.; Młotkowski, Wojciech
- Abstract
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. Applications to harmonic analysis, operator spaces and noncommutative probability are presented. Characterization of radial and colour-radial functions on dihedral groups and infinite permutation group are shown.
- Subjects
MATHEMATICAL functions; COXETER groups; OPERATOR spaces; NONCOMMUTATIVE function spaces; PROBABILITY theory; HARMONIC analysis (Mathematics)
- Publication
Communications in Mathematical Physics, 2018, Vol 361, Issue 2, p583
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-018-3160-6