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Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded |
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| Authors: | Sh A Alimov |
| Institution: | (1) Tashkent State University, Tashkent, Uzbekistan |
| Abstract: | For piecewise smooth functions, we indicate their domains of convergence and Riecz summarizability of their spectral expansions related to the Laplace operator in ? n , depending on the geometry of points of discontinuity of the function being expanded. |
| Keywords: | Fourier expansion piecewise smooth function Riesz means Laplace operator spectral theorem multiple Fourier integral Sobolev class |
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