R. V. Romanov, “On instability of the absolutely continuous spectrum of dissipative Schrödinger operators and Jacobi matrices”, Algebra i Analiz, 17:2 (2005), 145–169; St. Petersburg Math. J., 17:2 (2006), 325

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Algebra i Analiz, 2005, Volume 17, Issue 2, Pages 145–169 (Mi aa664)

This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

On instability of the absolutely continuous spectrum of dissipative Schrödinger operators and Jacobi matrices

R. V. Romanov

Saint-Petersburg State University

Full-text PDF (1238 kB) Citations (4)

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Received: 14.01.2004

English version:
St. Petersburg Mathematical Journal, 2006, Volume 17, Issue 2, Pages 325–341
DOI: https://doi.org/10.1090/S1061-0022-06-00907-1

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: R. V. Romanov, “On instability of the absolutely continuous spectrum of dissipative Schrödinger operators and Jacobi matrices”, Algebra i Analiz, 17:2 (2005), 145–169; St. Petersburg Math. J., 17:2 (2006), 325–341

Citation in format AMSBIB

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\by R.~V.~Romanov

\paper On instability of the absolutely continuous spectrum of dissipative Schr\"odinger operators and Jacobi matrices

\jour Algebra i Analiz

\yr 2005

\vol 17

\issue 2

\pages 145--169

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159588}

\zmath{https://zbmath.org/?q=an:1108.47015}

\elib{https://elibrary.ru/item.asp?id=9154195}

\transl

\jour St. Petersburg Math. J.

\yr 2006

\vol 17

\issue 2

\pages 325--341

\crossref{https://doi.org/10.1090/S1061-0022-06-00907-1}

Linking options:

https://www.mathnet.ru/eng/aa664

https://www.mathnet.ru/eng/aa/v17/i2/p145

This publication is cited in the following 4 articles:

Royer J., “Mourre's commutators method for a dissipative form perturbation”, J. Operat. Theor., 76:2 (2016), 351–385
Marletta M., Romanov R., “Absence of the absolutely continuous spectrum of a first-order non-selfadjoint Dirac-like system for slowly decaying perturbations”, Ark. Mat., 44:1 (2006), 132–148
Rybkin A., “The analytic structure of the reflection coefficient, a sum rule and a complete description of the Weyl $m$ -function of half-line Schrödinger operators with $L_2$ -type potentials”, Proc. Roy. Soc. Edinburgh Sect. A, 136:3 (2006), 615–632
Gilbert D., “Asymptotic methods in the spectral analysis of Sturm-Liouville operators”, Sturm-Liouville Theory: Past and Present, 2005, 121–136

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

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Full-text PDF :	168
References:	60
First page:	1

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