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Mathematical Notes

, Volume 103, Issue 1–2, pp 175–186 | Cite as

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

  • V. V. Volchkov
  • Vit. V. Volchkov
Article
  • 13 Downloads

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 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Donetsk National UniversityDonetskUkraine

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