Closed form of the Fourier-Borel kernel in the framework of Clifford analysis

DOI10.1007/s00025-011-0138-5zbMath1264.30041OpenAlexW1993888047MaRDI QIDQ692516

Fransiscus Sommen, Nele De Schepper

Publication date: 6 December 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0138-5

zbMATH Keywords

Gegenbauer polynomialsBessel functionsClifford analysisFischer decompositionFourier-Bessel kernel

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (2)

On the Bargmann-Radon transform in the monogenic setting ⋮ Segal-Bargmann-Fock modules of monogenic functions

Cites Work

• The class of Clifford-Fourier transforms
• The Hermitian Clifford analysis toolbox
• Explicit solutions of the inhomogeneous Dirac equation
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• An Algebraic Theorem of E. Fischer, and the Holomorphic Goursat Problem
• Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform
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