Beurling's theorems and inversion formulas for certain index transforms

The familiar Beurling theorem (an uncertainty principle), which is known for the Fourier transform pairs, has recently been proved by the author for the Kontorovich-Lebedev transform. In this paper analogs of the Beurling theorem are established for certain index transforms with respect to a paramet...

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Bibliographic Details
Main Author: Semyon B. Yakubovich
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2009-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol29/1/art/opuscula_math_2909.pdf