The Localization Principle of Spectral Expansions of Distributions on Closed Domain

The Localization Principle of Spectral Expansions of Distributions on Closed Domain

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. More...

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Veröffentlicht in:Journal of physics. Conference series 2013-04, Vol.435 (1), p.12015
Hauptverfasser: Ahmedov, Anvarjon A, Aslam, Siti Nor Aini binti Mohd
Format: Artikel
Sprache:eng
Schlagworte:
Domains
Eigenvectors
Isomorphism
Localization
Operators (mathematics)
Physics
Spectra
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Beschreibung
Zusammenfassung: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/435/1/012015