Morera-type theorems in the hyperbolic disc

DOI10.1070/IM8484zbMath1402.30002OpenAlexW2580228325MaRDI QIDQ4568542

Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 22 June 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8484

zbMATH Keywords

automorphismboundary behaviourholomorphicityconformal

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90) Inverse problems for integral equations (45Q05) Monogenic and polygenic functions of one complex variable (30A05)

Cites Work

• Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs
• Analyticity of functions analytic on circles
• Pompeiu's problem on spaces of constant curvature
• On a problem of Zalcman and its generalizations
• Morera and mean-value type theorems in the hyperbolic disk
• A Morera type theorem in the strip
• Analyticity and the Pompeiu problem
• Théorie générale des fonctions moyenne-périodiques
• Integral Geometry and Radon Transforms
• Offbeat Integral Geometry on Symmetric Spaces
• Convolution equations in many-dimensional domains and on the Heisenberg reduced group
• Testing analyticity on circles
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