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Localization conditions for spectral decompositions related to elliptic operators from class \(A_ r\)

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Publication:1358493
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DOI10.1007/BF02308542zbMath0884.47027MaRDI QIDQ1358493

Abdumalik Rakhimov

Publication date: 14 July 1997

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

spectral decompositionsdistributions from negative Sobolev classes with compact supportselliptic differential operators with constant coefficientssufficient localization conditions


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)


Related Items (2)

On the equiconvergence of the Fourier series and the Fourier integral of distributions ⋮ On the Riesz summability of the eigenfunction expansions on a closed domain




Cites Work

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