On the summability of spectral expansions of piecewise smooth functions

DOI10.1134/S0012266108090012zbMath1170.35070OpenAlexW2069107141MaRDI QIDQ1007020

Ravshan Ashurov

Publication date: 26 March 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266108090012

zbMATH Keywords

spectral expansionshomogeneous elliptic differential operatorsimple piecewise smooth function

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of partial differential operators (47F05)

Cites Work

• Pointwise Fourier inversion: A wave equation approach
• On the eigenfunction expansion of a piecewise smooth function.
• Localization and convergence of eigenfunction expansions
• Pointwise Fourier inversion on tori and other compact manifolds
• Über Integrale auf konvexen Körpern. I, II
• Eigenfunction expansions and the Pinsky phenomenon on compact manifolds

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