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Inversion formulas for the Dunkl-type Segal–Bargmann transform

Authors :
Fethi Soltani
Source :
Integral Transforms and Special Functions. 26:325-339
Publication Year :
2015
Publisher :
Informa UK Limited, 2015.

Abstract

We give the inverse of the Dunkl-type Segal–Bargmann transform Bα as a limit of certain integral operators. An application to Tikhonov regularization on the Dunkl-type Fock spaces Fα(C) is given using the theory of reproducing kernel Hilbert spaces.

Subjects

Subjects :
Pure mathematics
Kernel (set theory)
Applied Mathematics
Mathematical analysis
Mathematics::Classical Analysis and ODEs
Hilbert space
Inverse
Inversion (discrete mathematics)
Fock space
Tikhonov regularization
symbols.namesake
symbols
Limit (mathematics)
Analysis
Mathematics
Dunkl operator

Details

ISSN :
14768291 and 10652469
Volume :
26
Database :
OpenAIRE
Journal :
Integral Transforms and Special Functions
Accession number :
edsair.doi...........f4c9cacbac0379cdb91c306c7d576518

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