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Matematicheskie Zametki, 2007, Volume 82, Issue 1, Pages 58–63
DOI: https://doi.org/10.4213/mzm3753 (Mi mzm3753) 		 
Spectrum and Spectral Decomposition of a Non-Self-Adjoint Differential Operator

M. Dzh. Manafov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
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DOI: https://doi.org/10.4213/mzm3753
Abstract: We obtain the spectrum structures and the spectral decomposition of a non-self-adjoint differential operator $L$ generated by the differential expression $l[y]\equiv-y''+\alpha x^me^{i\mu x}y$, $m,\mu\ge1$, in the space $L_2(-\infty,\infty)$.
Keywords: non-self-adjoint differential operator, spectral decomposition of an operator, the space $L_2(-\infty,\infty)$, resolvent of an operator, rational function, holomorphic continuation.
Received: 17.03.2004
English version:
Mathematical Notes, 2007, Volume 82, Issue 1, Pages 52–56
DOI: https://doi.org/10.1134/S0001434607070073
Bibliographic databases:
UDC: 517.984.5
Language: Russian
Citation: M. Dzh. Manafov, “Spectrum and Spectral Decomposition of a Non-Self-Adjoint Differential Operator”, Mat. Zametki, 82:1 (2007), 58–63; Math. Notes, 82:1 (2007), 52–56
Citation in format AMSBIB
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