Regular functions of several quaternionic variables

DOI10.1007/BF01762787zbMath0651.30026MaRDI QIDQ1106359

Donato Pertici

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Plemelj formulasformula of Bochner-Martinelli typetheorem of Hartogs

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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Quaternionic regularity and the -Neumann problem in ⋮ The Dirac Complex on Abstract Vector Variables: Megaforms ⋮ The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group ⋮ Bochner-Martinelli formula for higher spin operators of several \(\mathbb{R}^6\) variables ⋮ Hartogs phenomena for discrete \(k\)-Cauchy-Fueter operators ⋮ Hartogs phenomenon for systems of differential equations ⋮ Theory of several paravector variables: Bochner-Martinelli formula and Hartogs theorem ⋮ On non-homogeneous Cauchy-Fueter equations and Hartogs' phenomenon in several quaternionic variables ⋮ Octonion analysis of several variables ⋮ An extension theorem for regular functions of two quaternionic variables ⋮ The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions ⋮ The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group ⋮ Regular functions of several quaternionic variables and the Cauchy-Fueter complex

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