An analog of the Brown-Schreiber-Taylor theorem for weighted hyperbolic shifts
type: Item
instance of: scholarly article
title: An analog of the Brown-Schreiber-Taylor theorem for weighted hyperbolic shifts
zbMATH Open document ID: 1397.43002
DOI: 10.1134/S0001434618010194
published in: Mathematical Notes
publication date: 2018-06-25T00:00:00Z
review text: The authors prove a weighted analogue of the Brown-Schreiber-Taylor theorem [\textit{L. Brown} et al., Ann. Inst. Fourier 23, No. 3, 125--154 (1973; Zbl 0265.46044)], for subspaces of continuous functions on the hyperbolic plane. Their proof uses a version of the technique of transmutation mapping previously developed by them, see e. g., [\textit{V. V. Volchkov} and \textit{V. V. Volchkov}, Sb. Math. 207, No. 7, 942--963 (2016; Zbl 1375.43005); translation from Mat. Sb. 207, No. 7, 57--80 (2016)].
reviewed by: Mihai Pascu
Mathematics Subject Classification ID: 43A10
Mathematics Subject Classification ID: 33D90
zbMATH DE Number: 6893883
zbMATH Keywords: convolution operators
zbMATH Keywords: spherical functions
zbMATH Keywords: spherical transform
zbMATH Keywords: Pompeiu problem
author: Valeriĭ V. Volchkov
author: Vit. V. Volchkov
MaRDI profile type: Publication
Wikidata QID: Q125339119
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full work available at URL: s0001434618010194
OpenAlex ID: W2789788487
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description: scientific article; zbMATH DE number 6893883