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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Vydáno v:	Communications in mathematical physics Ročník 361; číslo 2; s. 583 - 604
Hlavní autoři:	Bożejko, Marek, Gal, Światosław R., Młotkowski, Wojciech
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018 Springer Nature B.V
Témata:	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
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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.
AbstractList	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.
Author	Gal, Światosław R. Młotkowski, Wojciech Bożejko, Marek
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Snippet	A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite...
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SubjectTerms	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
Title	Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability
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