This article is cited in 13 papers

Localization conditions for spectral decompositions related to elliptic operators from the class $A_r$

A. A. Rakhimov

V. I. Lenin Tashkent State University

Abstract: We study sufficient localization conditions for spectral decompositions of distributions from negative Sobolev classes with compact supports. Sufficient localization conditions are obtained for spectral decompositions corresponding to elliptic differential operators with constant coefficients.

UDC: 517.596

Received: 23.08.1993
Revised: 07.06.1994

DOI: 10.4213/mzm1730

 English version: Mathematical Notes, 1996, 59:3, 298–302

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