# The Hypergroup Associated with the Cherednik Operators and Applications to the Infinitely Divisible Probabilities and Convolution Semigroups

The Hypergroup Associated with the Cherednik Operators and Applications to the Infinitely... In this paper we define the hypergroup $$(\mathbb {R}^d, *_\mathcal {H})$$ ( R d , ∗ H ) associated with the Cherednik operators on $$\mathbb {R}^d$$ R d and we use the harmonic analysis on this hypergroup to study the infinite divisible probabilities and the convolution semigroups on the hypergroup $$(\mathbb {R}^d, *_\mathcal {H})$$ ( R d , ∗ H ) . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

# The Hypergroup Associated with the Cherednik Operators and Applications to the Infinitely Divisible Probabilities and Convolution Semigroups

, Volume 14 (4) – Jun 23, 2017
17 pages

/lp/springer_journal/the-hypergroup-associated-with-the-cherednik-operators-and-VnGJtMVKQM
Publisher
Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
D.O.I.
10.1007/s00009-017-0951-5
Publisher site
See Article on Publisher Site

### Abstract

In this paper we define the hypergroup $$(\mathbb {R}^d, *_\mathcal {H})$$ ( R d , ∗ H ) associated with the Cherednik operators on $$\mathbb {R}^d$$ R d and we use the harmonic analysis on this hypergroup to study the infinite divisible probabilities and the convolution semigroups on the hypergroup $$(\mathbb {R}^d, *_\mathcal {H})$$ ( R d , ∗ H ) .

### Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Jun 23, 2017

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