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- Title
SPECTRAL EXPANSION SERIES WITH PARENTHESIS FOR THE NONSELF-ADJOINT PERIODIC DIFFERENTIAL OPERATORS.
- Authors
Veliev, Oktay
- Abstract
In this paper we construct the spectral expansion for the differential operator generated in L2 (-∞, ∞) by ordinary differential expression of arbitrary order with periodic complex-valued coefficients by introducing new concepts as essential spectral singularities and singular quasimomenta and using the series with parenthesis. Moreover, we find a criteria for which the spectral expansion coincides with the Gelfand expansion for the self-adjoint case.
- Subjects
DIFFERENTIAL operators; ADJOINT differential equations; NONSELFADJOINT operators; LINEAR operators; MATHEMATICAL singularities
- Publication
Communications on Pure & Applied Analysis, 2019, Vol 18, Issue 1, p397
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2019020