Orthogonal decompositions of the function space L2( ;ℂ)

DOI10.1515/crll.2002.062zbMath0999.30031OpenAlexW1984219908MaRDI QIDQ4539576

Heinrich Begehr

Publication date: 9 July 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2002.062

zbMATH Keywords

polyharmonic functionpolyanalytic functionsCauchy-Pompeiu formula

Mathematics Subject Classification ID

Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (13)

Integral Representations Related to Complex Partial Differential Operators ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Hörmander's \(L^2\)-method, \(\overline{\partial}\)-problem and polyanalytic function theory in one complex variable ⋮ Dirichlet problem for inhomogeneous polyharmonic equation ⋮ A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem ⋮ Polyharmonic Bergman spaces and Bargmann type transforms ⋮ Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group ⋮ Some higher order Cauchy–Pompeiu integral representations ⋮ Iterated Neumann problem for the higher order Poisson equation ⋮ Boundary value problems for bi-polyanalytic functions ⋮ Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order ⋮ Polyharmonic Dirichlet problems ⋮ The Hilbert-Schmidt norm of Hankel operators on poly-Bergman spaces

Cites Work

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