Duality in hypercomplex function theory

DOI10.1016/0022-1236(80)90039-7zbMath0446.46029OpenAlexW2011181978MaRDI QIDQ1145861

Richard Delanghe, Fred Brackx

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90039-7

zbMATH Keywords

dualityClifford-algebra-valued functionshypercomplex differential operatorhypercomplex function theoryinductive limit of Frechet modulespoly-harmonic functionsspaces of holomorphic functions and analytic functionalsspaces of monogenic functions

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Duality theory for topological vector spaces (46A20) Inductive and projective limits in functional analysis (46M40) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (max. 100)

Clifford analysis with generalized elliptic and quasi elliptic functions ⋮ Duality for Hermitean systems in \(\mathbb R^{2n}\) ⋮ Annihilators for harmonic differential forms via Clifford analysis ⋮ Sato's hyperfunctions and boundary values of monogenic functions ⋮ Clifford structures on manifolds ⋮ Clifford analysis and its applications I: Representations of Laplace operators. Regularity criteria. Integral representations of Cauchy-Green type ⋮ Commutative Algebras Associated with Classic Equations of Mathematical Physics ⋮ Duality in complex Clifford analysis

Cites Work

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• Runge's theorem in hypercomplex function theory
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• Dualität in der Funktionentheorie.

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