This article is cited in 1 paper

Estimates for the Fourier–Bessel transforms of multivariate functions

V. A. Abilov^a, M. K. Kerimov<sup>b

a</sup> Daghestan State University
^b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: Two estimates useful in applications are proved for the Fourier–Bessel (or Hankel) transform in the space for some classes of two-variable functions characterized by a generalized modulus of continuity.

Key words: Fourier–Bessel integral transform, generalized shift operator, generalized derivatives, estimate for the Fourier–Bessel transform.

UDC: 519.65

Received: 12.01.2012

 English version: Computational Mathematics and Mathematical Physics, 2012, 52:6, 836–845

Bibliographic databases:

• 
• 
• 
• 
• 
•