The Clifford Deformation of the Hermite Semigroup

The Clifford Deformation of the Hermite Semigroup

This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], 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 obtai...

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Bibliographic Details
Main Authors: Hendrik De Bie, Bent Ørsted, Petr Somberg, Vladimir Souček
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Dunkl operators
Clifford analysis
generalized Fourier transform
Laguerre polynomials
Kelvin transform
holomorphic semigroup
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.010

Internet

http://dx.doi.org/10.3842/SIGMA.2013.010

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