Sets of uniform convergence of Fourier expansions of piecewise smooth functions

DOI10.1007/s00041-004-3056-zzbMath1071.42007OpenAlexW2061026434MaRDI QIDQ1774477

Niranjan Chakravarthy

Publication date: 9 May 2005

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-004-3056-z

zbMATH Keywords

Fourier expansionuniform convergenceeigenfunction expansionelliptic operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General theory of partial differential operators (47F05) Summability in several variables (42B08) Higher-order elliptic equations (35J30)

Related Items (8)

The Kahane theorem for nonspherical partial sums of Fourier integrals ⋮ On spectral expansions of piecewise smooth functions depending on the geodesic distance ⋮ On the Pinsky phenomenon for B-elliptic operators ⋮ On the smoothness of a function at the convergence point of its spectral expansion associated with B-elliptic operators ⋮ On the Pinsky phenomenon ⋮ On multiple Fourier series of piecewise smooth functions ⋮ On summability of eigenfunction expansions of piecewise smooth functions ⋮ On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrödinger operator

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