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Matematicheskie Zametki, 2018, Volume 103, Issue 2, Pages 172–185
DOI: https://doi.org/10.4213/mzm11570 (Mi mzm11570) 		 
An Analog of the Brown–Schreiber–Taylor Theorem for Weighted Hyperbolic Shifts

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University
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DOI: https://doi.org/10.4213/mzm11570
Abstract: In the present paper, using a development of the technique of transmutation mappings, we obtain the first weighted analog of the well-known Brown–Schreiber–Taylor theorem on the eigenvalues of the Laplacian for corresponding spaces of continuous functio
Keywords: convolution operator, spherical functions, spherical transforms.
Received: 07.06.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 2, Pages 175–186
DOI: https://doi.org/10.1134/S0001434618010194
Bibliographic databases:
Document Type: Article
UDC: 517.444
Language: Russian
Citation: V. V. Volchkov, Vit. V. Volchkov, “An Analog of the Brown–Schreiber–Taylor Theorem for Weighted Hyperbolic Shifts”, Mat. Zametki, 103:2 (2018), 172–185; Math. Notes, 103:2 (2018), 175–186
Citation in format AMSBIB
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