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Matematicheskie Zametki, 2011, Volume 89, Issue 6, Pages 846–855
DOI: https://doi.org/10.4213/mzm8768 (Mi mzm8768) 		 
Differential Operators Symmetric with Respect to an Indefinite Metric

R. S. Ismagilova, Sh. Sh. Sultanovb

a N. E. Bauman Moscow State Technical University
b Nizhnevartovsk State Humanitarian University
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DOI: https://doi.org/10.4213/mzm8768
Abstract: We describe classes of second-order differential operators on a circle that are symmetric with respect to an indefinite metric with a finite rank of indefiniteness.
Keywords: differential operator, complex Hilbert space, $J$-symmetric operator, indefinite metric, periodic function, Pontryagin space, Krein space.
Received: 25.01.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 810–818
DOI: https://doi.org/10.1134/S0001434611050221
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: R. S. Ismagilov, Sh. Sh. Sultanov, “Differential Operators Symmetric with Respect to an Indefinite Metric”, Mat. Zametki, 89:6 (2011), 846–855; Math. Notes, 89:6 (2011), 810–818
Citation in format AMSBIB
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