Title of article
On the Divergence of Spectral Expansions of Elliptic Differential Operators
Author/Authors
Ashurov، Ravshan نويسنده Institute of Advanced Technology (ITMA),Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia , , Ahmedov، Anvarjon نويسنده Department of Process and Food Engineering, Faculty of Engineering, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
12
From page
185
To page
196
Abstract
In this paper we consider spectral expansions of functions from Nikolʹskii classes related to selfadjoint extensions of elliptic differential operators of order in We construct a continuous function from Nikolʹskii class with such that the Riesz means of spectral expansion of which diverge at the origin. This result demonstrates sharpness of the condition obtained earlier by Alimov (1976) for uniform convergence of spectral expansions, related to elliptic differential operators.
Journal title
Malaysian Journal of Mathematical Sciences
Serial Year
2011
Journal title
Malaysian Journal of Mathematical Sciences
Record number
676630
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