V. A. Il'in, Sh. A. Alimov, “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”, Differ. Uravn., 7:4 (1971), 670

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Differentsial'nye Uravneniya, 1971, Volume 7, Number 4, Pages 670–710 (Mi de1255)

This article is cited in 12 scientific papers (total in 12 papers)

Partial Differential Equations

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

Lomonosov Moscow State University

Full-text PDF (3629 kB) Citations (12)

Received: 28.12.1970

Bibliographic databases:

Document Type: Article

UDC: 517.518.45.517.95

Language: Russian

Citation: V. A. Il'in, Sh. A. Alimov, “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”, Differ. Uravn., 7:4 (1971), 670–710

Citation in format AMSBIB

\Bibitem{IliAli71}

\by V.~A.~Il'in, Sh.~A.~Alimov

\paper 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

\jour Differ. Uravn.

\yr 1971

\vol 7

\issue 4

\pages 670--710

\mathnet{http://mi.mathnet.ru/de1255}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284867}

\zmath{https://zbmath.org/?q=an:0224.35014}

Linking options:

https://www.mathnet.ru/eng/de1255

https://www.mathnet.ru/eng/de/v7/i4/p670

Erratum

Comment on conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators
V. A. Il'in, Sh. A. Alimov
Differ. Uravn., 1972, 8:1, 190

Cycle of papers

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 12 articles:

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

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