The Clifford deformation of the Hermite semigroup

DOI10.3842/SIGMA.2013.010zbMath1273.43007arXiv1101.5551OpenAlexW2092420104MaRDI QIDQ352464

Petr Somberg, Bent Førsted, Hendrik De Bie, Vladimír Souček

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5551

zbMATH Keywords

Kelvin transformholomorphic semigroupLaguerre polynomialsClifford analysisgeneralized Fourier transformDunkl operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other transforms and operators of Fourier type (43A32) Harmonic analysis and PDEs (42B37)

Related Items (8)

Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator ⋮ Operator exponentials for the Clifford Fourier transform on multivector fields in detail ⋮ Quaternion and fractional Fourier transform in higher dimension ⋮ New results on the radially deformed Dirac operator ⋮ On the supports of functions associated to the radially deformed Fourier transform ⋮ Convolution products for hypercomplex Fourier transforms ⋮ Weighted inequalities and uncertainty principles for the (k,a)-generalized Fourier transform ⋮ Reproducing kernels for polynomial null-solutions of Dirac operators

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