Citation
Ahmedov, Anvarjon and Ashurov, Ravshan
(2011)
On the divergence of spectral expansions of elliptic differential operators.
Malaysian Journal of Mathematical Sciences, 5 (2).
pp. 185-196.
ISSN 1823-8343
Abstract
In this paper we consider spectral expansions of functions from Nikol'skii classes Hap (Rn), related to selfadjoint extensions of elliptic differential operators A(D) of order m in Rn. We construct a continuous function from Nikol'skii class with pa < N, such that the Riesz means of spectral expansion of which diverge at the origin. This result demonstrates sharpness of the condition pa > N obtained earlier by Alimov (1976) for uniform convergence of spectral expansions, related to elliptic differential operators.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol5no...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering Institute for Mathematical Research Institute of Advanced Technology |
| Publisher: | Universiti Putra Malaysia Press |
| Keywords: | Fourier integral; Spectral expansions of the differential operators; Spectral function; Riesz means |
| Depositing User: | Muizzudin Kaspol |
| Date Deposited: | 03 Nov 2014 07:43 |
| Last Modified: | 27 May 2015 07:55 |
| URI: | http://psasir.upm.edu.my/id/eprint/23261 |
| Statistic Details: | View Download Statistic |
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