Cheremnikh E. Smooth perturbation of continuous spectrum and analysis of spectral singularities

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0502U000451

Thesis Registration Form

0502U000451.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

12-11-2002

Specialized Academic Board

Д26.206.01

Essay

Subject - non-selfadjoinnt Friedrich's model and perturbation of Sturm- Liouville's operator on half line; methods - spectral theory of non-selfadjoinnt operators; newness - new representation of function of operator with spectral singularities are given; results - generalization of Sohozky's formula, both-side estimations for the solutions of evolution equation and the terms in their asymptotic, condition of finiteness of point spectrum; applications - spectral theory, evolution systems, scattering theory.

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Files

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Cheremn-1.doc

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Rozdil 5_1.doc

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Rozdil3-100.doc

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Visnovki.doc

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aref.doc

rozdil5-8.doc

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Розд_л 5_6.doc

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