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The following article is Open access

The Localization Principle of Spectral Expansions of Distributions on Closed Domain

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Published under licence by IOP Publishing Ltd
, , Citation Anvarjon A Ahmedov and Siti Nor Aini binti Mohd Aslam 2013 J. Phys.: Conf. Ser. 435 012015 DOI 10.1088/1742-6596/435/1/012015

1742-6596/435/1/012015

Abstract

The aim of this work is to investigate the problems of localization of spectral expansions of the distributions on closed domain, related to biharmonic operator. Using the mean value formula for the eigenfunctions of the biharmonic operator the Riesz means of the spectral function is estimated. Moreover, isomorphism of the generalized Holder spaces is applied.

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10.1088/1742-6596/435/1/012015