On eigenfunction expansions of continuous functions associated with B-elliptic operators

DOI10.1134/s1995080224603679MaRDI QIDQ6656893

Shavkat A. Alimov, Sh. T. Pirmatov

Publication date: 3 January 2025

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

zbMATH Keywords

singular elliptic operatorsRiesz summabilityeigenfunctions expansions

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) Harmonic analysis in several variables (42Bxx)

Cites Work

• Expansion of continuous functions from Sobolev classes in eigenfunctions of the Laplace operator
• The spectral function of an elliptic operator
• CONVERGENCE PROBLEMS OF MULTIPLE TRIGONOMETRIC SERIES AND SPECTRAL DECOMPOSITIONS. I
• Summation of multiple Fourier series by spherical means.
• On the smoothness of a function at the convergence point of its spectral expansion associated with B-elliptic operators
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