On the Poisson representation of a function harmonic in the upper half-plane

DOI10.1007/BF03321016zbMath1034.31001MaRDI QIDQ1409784

Seçil Gergün, Iossif V. Ostrovskii

Publication date: 22 October 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Poisson integralPhragmén-Lindelöf principleNevanlinna formula

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (3)

Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ Harmonic Functions in Slabs and Half-Spaces ⋮ On the cylindrical Green's function for representation theory and its applications

Cites Work

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• Riemann's boundary problem with infinite index. Introduction, appendix and editing by I. V. Ostrovskij. Transl. from the Russian by Yu. I. Lyubarskij
• On the Titchmarsh convolution theorem
• On the Titchmarsh convolution theorem

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