Solomko A. Fourier-Laplace operator transformation in the classes of generalized functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U001147

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

05-03-2009

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

The dissertation is devoted to construction of the Fourier-Laplace transformation in the some classes of generalized functions. The representation of convolution algebras as commutant of the n-parametric strongly continuous semigroup of operators is proved. New method of construction of the functional calculus in the convolution algebras for generators of the strongly continuous semigroups of operators is presented.

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