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Estimates for the Fourier-Bessel transforms of multivariate functions

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Abstract

Two estimates useful in applications are proved for the Fourier-Bessel (or Hankel) transform in the space \(\mathbb{L}_2 \left( {\mathbb{R}_ + ^2 } \right)\) for some classes of two-variable functions characterized by a generalized modulus of continuity.

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Authors and Affiliations

  1. Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia

    V. A. Abilov

  2. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    M. K. Kerimov

Authors
  1. V. A. Abilov
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  2. M. K. Kerimov
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Correspondence to V. A. Abilov.

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Original Russian Text © V.A. Abilov, M.K. Kerimov, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 6, pp. 980–989.

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Abilov, V.A., Kerimov, M.K. Estimates for the Fourier-Bessel transforms of multivariate functions. Comput. Math. and Math. Phys. 52, 836–845 (2012). https://doi.org/10.1134/S0965542512060024

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