Author: "V. S. Serov" / Journal: mathematical notes of the academy of sciences of the ussr - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "V. S. Serov" Journal mathematical notes of the academy of sciences of the ussr

Author: V. S. Serov
Subjects: General Mathematics, Convergence (routing), Applied mathematics, Spectral resolution, Mathematics
Published: 1979

Author: V. S. Serov
Subjects: Laplace–Beltrami operator, Laplace expansion, General Mathematics, Laplace transform applied to differential equations, Mathematical analysis, p-Laplacian, Inverse Laplace transform, Laplace operator, Green's function for the three-variable Laplace equation, Ornstein–Uhlenbeck operator, Mathematics
Published: 1983

Author: V. S. Serov
Subjects: Elliptic operator, symbols.namesake, Fourier transform, Series (mathematics), General Mathematics, Discrete Fourier series, Conjugate Fourier series, Function series, Mathematical analysis, Fourier inversion theorem, symbols, Fourier series, Mathematics
Abstract: In this article we investigate absolute convergence of Fourier series in eigenfunctions of an m-th order elliptic operator on functions in the Besov class B 2, N/2 . We show that in terms of Besov classes the theorem of Peetre on absolute convergence of series in eigenfunctions in the class B 2,1 N/2 is best possible. We construct a function in B 2, N/2 whose Fourier series is absolutely divergent at any preassigned point.
Published: 1976

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