Distributional boundary values of harmonic and analytic functions

DOI10.1016/0022-247X(82)90102-0zbMath0511.31008MaRDI QIDQ1839070

Ram P. Kanwal, Ricardo Estrada

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundary behaviorboundary values in the sense of distributionsregular analytic functionsregular harmonic functions

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25) Distributions and ultradistributions as boundary values of analytic functions (46F20) Cluster sets, prime ends, boundary behavior (30D40)

Related Items

Higher order fundamental forms of a surface and their applications to wave propagation and generalized derivatives ⋮ Ultradistributional boundary values of harmonic functions on the sphere ⋮ Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces ⋮ Rotation Invariant Ultradistributions ⋮ Exterior Euler summability ⋮ Abel means for orthogonal expansions of distributions on spheres, balls and simplices ⋮ Multiplication of periodic hyperfunctions via harmonic regularization and applications ⋮ The Cauchy integral formula and distributional integration ⋮ Determination of jumps of distributions by differentiated means ⋮ One-sided cluster sets of boundary values of analytic functions

Cites Work

• Applications of Distributional Derivatives to Wave Propagation
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