Asymptotic behavior of singular multiple integrals for differentiable functions

DOI10.1007/BF01140223zbMath0487.41025MaRDI QIDQ1165412

Boris I. Golubov

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transformgeneralized Laplacianasymptotic behavior of singular multiple integralsintegral of GaussWeierstrass typeRiesz integral

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• The Asymptotic Expansion of the Generalized Hypergeometric Function
• Theta Relations with Spherical Harmonics
• Circular Summability C of Double Trigonometric Series
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