An analog of the Brown-Schreiber-Taylor theorem for weighted hyperbolic shifts

DOI10.1134/S0001434618010194zbMath1397.43002OpenAlexW2789788487WikidataQ125339119 ScholiaQ125339119MaRDI QIDQ1646355

Vitalii Vladimirovich Volchkov, Valery Vladimirovich Volchkov

Publication date: 25 June 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618010194

zbMATH Keywords

spherical functionsconvolution operatorsPompeiu problemspherical transform

Mathematics Subject Classification ID

Applications of basic hypergeometric functions (33D90) Measure algebras on groups, semigroups, etc. (43A10)

Cites Work

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• The Pompeiu problem revisited
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• Pompeiu's problem on symmetric spaces
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• Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces
• Spectral synthesis and the Pompeiu problem
• Théorie générale des fonctions moyenne-périodiques
• Spectral analysis on the group of conformal automorphisms of the unit disc
• Integral Geometry and Radon Transforms
• Offbeat Integral Geometry on Symmetric Spaces
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Convolution equations in many-dimensional domains and on the Heisenberg reduced group

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