On the smoothness of a function at the convergence point of its spectral expansion associated with B-elliptic operators

DOI10.1134/s1995080223080036MaRDI QIDQ6140419

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Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral expansionsingular Bessel-type elliptic operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Second-order elliptic equations (35J15)

Cites Work

• On the smoothness of mean values of functions with summable spectral expansion
• Sets of uniform convergence of Fourier expansions of piecewise smooth functions
• Localization and convergence of eigenfunction expansions
• On the Pinsky phenomenon
• Dependence of the convergence domain of spectral expansions on the geometry of the set of discontinuity of the function being expanded
• CONVERGENCE PROBLEMS OF MULTIPLE TRIGONOMETRIC SERIES AND SPECTRAL DECOMPOSITIONS. I
• Eigenfunction expansions and the Pinsky phenomenon on compact manifolds
• On the Pinsky phenomenon for B-elliptic operators
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