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Colloquium November 10

Date: Tuesday November 14

Time: 16:00 to 17:00

Place: 455 McBryde (Commons Room)

Speaker: Elmira Pashayeva, Fulbright Scholar from Azerbaijan

Title: Spectral theory of Non-Self-Adjoint Singular Differential Operators

Abstract

The interest to the problem of Spectral Analysis of Differential Operators increased due to the development of Quantum Mechanics because the Spectral Analysis is its basic mathematical device. The Singular Differential Operators like operators given on the axis require especially detailed research. Generally speaking such operators have discrete as well as continuous parts of spectrum. The works of Danford, Gelfond I.M., Naymark M.A.,and Schwartz J.T, were the first investigations in this field.

The present report is about our investigations dedicated to the Spectral Analysis of the Non-self-adjoint Differential Operators with complex coefficients which are polynomially depend on spectral parameters defined on a semi-axis or the entire axis.


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