Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel.
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Publication:1880137
DOI10.2140/PJM.2004.214.379zbMath1052.33014OpenAlexW2093141326MaRDI QIDQ1880137
Publication date: 17 September 2004
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2004.214.379
Difference operators (39A70) Linear function spaces and their duals (46E99) Special classes of linear operators (47B99) Hypergeometric functions (33C99)
Related Items (17)
Segal-Bargmann transforms associated with finite Coxeter groups ⋮ Some characterization of Herz and Herz-type Hardy spaces for the Dunkl operator ⋮ Relations Among Various Versions of the Segal-Bargmann Transform ⋮ Fock-type spaces associated to higher-order Bessel operator ⋮ THE μ-DEFORMED SEGAL–BARGMANN TRANSFORM IS A HALL TYPE TRANSFORM ⋮ On the images of Dunkl-Sobolev spaces under the Schrödinger semigroup associated to Dunkl operators ⋮ Finite decomposition of Herz-type Hardy spaces for the Dunkl operator ⋮ On Segal--Bargmann analysis for finite Coxeter groups and its heat kernel ⋮ The \(C\)-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle ⋮ Some examples of extremal functions on the Dunkl-type Fock space \(F_k(\mathbb C)\) ⋮ Analytical and numerical approximation formulas on the Dunkl-type Fock spaces ⋮ Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\). ⋮ Inversion formulas in the Dunkl-type heat conduction on ⋮ Ranges and inversion formulas for the Dunkl intertwining operator and its dual ⋮ Inversion formulas for the Dunkl-type Segal–Bargmann transform ⋮ Maximal Bochner–Riesz operators on Hardy-type spaces in the Dunkl setting ⋮ APPLICATIONS ON THE BESSEL-STRUVE-TYPE FOCK SPACE
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