V. A. Il'in, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. III. Best possible local estimates of Riesz means of an arbitrary function from the class $L_2(G)$ for a self-adjoint extension of the Laplace operator”, Differ. Uravn., 7:6 (1971), 1036

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Differentsial'nye Uravneniya, 1971, Volume 7, Number 6, Pages 1036–1041 (Mi de1294)

This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. III. Best possible local estimates of Riesz means of an arbitrary function from the class $L_2(G)$ for a self-adjoint extension of the Laplace operator

V. A. Il'in

Lomonosov Moscow State University

Full-text PDF (618 kB) Citations (1)

Received: 23.02.1971

Bibliographic databases:

Document Type: Article

UDC: 517.522.3+517.945

Language: Russian

Citation: V. A. Il'in, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. III. Best possible local estimates of Riesz means of an arbitrary function from the class $L_2(G)$ for a self-adjoint extension of the Laplace operator”, Differ. Uravn., 7:6 (1971), 1036–1041

Citation in format AMSBIB

\Bibitem{Ili71}

\by V.~A.~Il'in

\paper Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. III.~Best possible local estimates of Riesz means of an arbitrary function from the class $L_2(G)$ for a self-adjoint extension of the Laplace operator

\jour Differ. Uravn.

\yr 1971

\vol 7

\issue 6

\pages 1036--1041

\mathnet{http://mi.mathnet.ru/de1294}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284869}

\zmath{https://zbmath.org/?q=an:0233.47032}

Linking options:

https://www.mathnet.ru/eng/de1294

https://www.mathnet.ru/eng/de/v7/i6/p1036

Cycle of papers

Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. I. Self-adjoint extension of the Laplace operator with a point spectrum
V. A. Il'in, Sh. A. Alimov
Differ. Uravn., 1971, 7:4, 670–710
Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. II. Self-adjoint extension of the Laplace operator with an arbitrary spectrum
Sh. A. Alimov, V. A. Il'in
Differ. Uravn., 1971, 7:5, 851–882
Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. III. Best possible local estimates of Riesz means of an arbitrary function from the class $L_2(G)$ for a self-adjoint extension of the Laplace operator
V. A. Il'in
Differ. Uravn., 1971, 7:6, 1036–1041
Conditions for the convergence of spectral decompositions that correspond to selfadjoint extensions of elliptic operators. IV. Theorems of negative type for an arbitrary extension of a general second order selfadjoint elliptic operator
V. A. Il'in
Differ. Uravn., 1973, 9:1, 49–73

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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