Bases communes dans certains espaces de fonctions harmoniques et fonctions séparément harmoniques sur certains ensembles de ${\bf C}^n$

DOI10.5802/AFST.575zbMath0504.31002OpenAlexW2324262990MaRDI QIDQ4740160

Ahmed Zeriahi

Publication date: 1982

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1982_5_4_1_75_0

zbMATH Keywords

harmonic continuationseparately harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Envelopes of holomorphy (32D10)

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Asymptotics of Kolmogorov diameters for some classes of harmonic functions of spheroids ⋮ Extension of holomorphic and pluriharmonic functions with thin singularities on parallel sections

Cites Work

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• Implications of pointwise bounds on polynomials
• Some characterizations of L-regular points
• Continuable bases in spaces of analytic functions of one and of several variables
• Bases de Schauder dans certains espaces de fonctions holomorphes. (Schauder bases in certain holomorphic functions spaces)
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• SEPARATELY ANALYTIC FUNCTIONS, GENERALIZATIONS OF HARTOGS' THEOREM, AND ENVELOPES OF HOLOMORPHY
• Asymptotic behaviour of harmonic polynomials bounded on a compact set
• Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of $C^n$

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