Hyperbolic \(L_2\)-modules with reproducing kernels

DOI10.1007/s10114-005-0756-5zbMath1101.30047OpenAlexW1987471928MaRDI QIDQ2508615

Fransiscus Sommen, David Eelbode

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0756-5

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

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• The photogenic Cauchy transform
• Analytic functionals on the Lie sphere
• Clifford analysis techniques for spherical PDE.
• The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation
• Taylor series on the hyperbolic unit ball
• Spherical monogenics on the Lie sphere
• Clifford analysis: History and perspective
• Solutions for the Hyperbolic Dirac Equation on R_{1, m}

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