Koshkin S. Levy characters in function spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U001372

Thesis Registration Form

0400U001372.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

16-05-2000

Specialized Academic Board

Д26.206.01

Essay

Nontrivial characters on algebras of functions defined on infinite-dimensional space are considered. Convolution operators are introduced and convolution semigroups and their generators are investigated. We give applications to operator theory in Hilbert space, random processes with independent increments and problems and mean field theory. The work is pureetical one a purely theoretical one. investigation of means over infinite-dimensional surfaces.

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