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On the summability of spectral expansions of piecewise smooth functions |
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| Authors: | R R Ashurov |
| Institution: | 1.Institute for Mathematics,Uzbek Academy of Sciences,Tashkent,Uzbekistan |
| Abstract: | For piecewise smooth functions of n variables, we prove the uniform Riesz summability of order s > (n ? 3)/2 of their spectral expansions associated with an arbitrary elliptic operator with constant coefficients. For s = (n ? 3)/2, the corresponding Riesz means are bounded. |
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