Some connections between clifford analysis and complex analysis

DOI10.1080/17476938208814008zbMath0464.30039OpenAlexW2109980776MaRDI QIDQ3915235

Fransiscus Sommen

Publication date: 1982

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938208814008

zbMATH Keywords

power series expansionsCauchy-Kowalewski extensionanalytic functionalmonogenic functionsmonogenic extensionhypercomplex variablesFourier-Borel type transforms

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hyperfunctions, analytic functionals (46F15) Cauchy-Kovalevskaya theorems (35A10) Power series, series of functions of several complex variables (32A05)

Related Items (18)

Clifford–Bessel wavelets in Euclidean space ⋮ Applications of complex Clifford analysis to the study of solutions to generalized Dirac and Klein-Gordon equations with holomorphic potentials ⋮ Pseudo‐differential operator in quaternion space ⋮ Coherent state transforms and the Weyl equation in Clifford analysis ⋮ Some elements of a theory of multidimensional complex variables. I: General theory ⋮ Unnamed Item ⋮ On Cauchy-Kovalewski extension ⋮ Clifford algebra, theory of its function and their application to mechanics ⋮ Codimension-\(p\) Paley-Wiener theorems ⋮ Clifford algebra-valued Segal-Bargmann transform and Taylor isomorphism ⋮ On boundary behavior of the Cauchy type integrals with values in a universal Clifford algebra ⋮ Runge approximation theorems in complex Clifford analysis together with some of their applications ⋮ Zeroes of slice monogenic functions ⋮ Unnamed Item ⋮ An elementary proof of the Paley–Wiener theorem in C^m ⋮ Co-dimension-pShannon sampling theorems ⋮ Representation formulas for the general derivatives of the fundamental solution to the Cauchy-Riemann operator in Clifford analysis and applications ⋮ Clifford algebra-valued orthogonal polynomials in Euclidean space

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