Nikitina O. Integral transformations generated by classical differential operators of mathematical physics.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U001140

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

22-12-2011

Specialized Academic Board

К 20.051.09

Kolomyia Educational-Scientific Institute The Vasyl Stefanyk Precarpathian National University

Essay

The thesis is devoted to the development of the theory of hybrid integral transformations and their applications to problems of mathematical physics and mathematical analysis. In the thesis hybrid integral transformations of Fourier, Euler, Bessell and Euler, Bessell, Legendre types are introduced by using the delta-sequence method; by the method of regular spectra problem of Sturm - Liouville final hybrid integral transformations of Euler, Bessell, Fourier, Legendre types are constructed.

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