An Analog of the Brown–Schreiber–Taylor Theorem for Weighted Hyperbolic Shifts

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University

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.

UDC: 517.444

Received: 07.06.2017

DOI: 10.4213/mzm11570

 English version: Mathematical Notes, 2018, 103:2, 175–186

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