# 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

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Unlimited reading Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere. ### Stay up to date Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates. ### Organize your research It’s easy to organize your research with our built-in tools. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. ### Monthly Plan • Read unlimited articles • Personalized recommendations • No expiration • Print 20 pages per month • 20% off on PDF purchases • Organize your research • Get updates on your journals and topic searches$49/month

14-day Free Trial

Best Deal — 39% off

### Annual Plan

• All the features of the Professional Plan, but for 39% off!
• Billed annually
• No expiration
• For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588$360/year

billed annually

14-day Free Trial