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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 268, Pages 155–167 (Mi tm2874)  
This article is cited in 4 scientific papers (total in 4 papers)

Spectral properties of operators with polynomial invariants in real finite-dimensional spaces

V. V. Kozlov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (193 kB) Citations (4)
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Abstract: We consider linear operators lying in the orthogonal group of a quadratic form and study those spectral properties of such operators that can be expressed in terms of the signature of this form. We show that in the typical case these transformations are symplectic. Some of the results can be extended to the general case when the operator admits a homogeneous form of degree $\ge3$.
Received in May 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 268, Pages 148–160
DOI: https://doi.org/10.1134/S0081543810010128
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. V. Kozlov, “Spectral properties of operators with polynomial invariants in real finite-dimensional spaces”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 155–167; Proc. Steklov Inst. Math., 268 (2010), 148–160
Citation in format AMSBIB
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\paper Spectral properties of operators with polynomial invariants in real finite-dimensional spaces
\inbook Differential equations and topology.~I
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\vol 268
\pages 155--167
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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