On the summability of spectral expansions of piecewise smooth functions

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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Identifiers

DOI

10.1134/s0012266108090012

Citations and references