The Clifford Deformation of the Hermite Semigroup

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10191638" target="_blank" >RIV/00216208:11320/13:10191638 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.3842/SIGMA.2013.010" target="_blank" >http://dx.doi.org/10.3842/SIGMA.2013.010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3842/SIGMA.2013.010" target="_blank" >10.3842/SIGMA.2013.010</a>

Result language

angličtina

Original language name

The Clifford Deformation of the Hermite Semigroup

Original language description

This paper is a continuation of the paper [H. De~Bie et al., Dunkl operators and a family of realizations of $mathfrak{osp}(1|2)$, arXiv:0911.4725], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis.At the same time, it gives extensions of many results obtained in [S. Ben Said et al., Laguerre semigroup and Dunkl operators, arXiv:0907.3749]. We establish the analogues of Bochner's formula and the Heisenberg uncertainty relation in the framework ofthe (holomorphic) Hermite semigroup, and also give a detailed analytic treatment of the series expansion of the associated integral transform.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Symmetry, Integrability and Geometry - Methods and Applications

ISSN

1815-0659

e-ISSN

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Volume of the periodical

2013

Issue of the periodical within the volume

9

Country of publishing house

UA - UKRAINE

Number of pages

22

Pages from-to

1-22

UT code for WoS article

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EID of the result in the Scopus database

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