Finkelshtein D. Some Classes of Measures and Corresponding Operators on Configuration Spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000789

Thesis Registration Form

0404U000789.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

24-02-2004

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

Object: analysis on the configuration spaces (CS). Subject: measures and operators on CS. Methods: Charlier polynomials, Mecke identity, integral equations. On CS over domains Gauss-Ostrogradsky and Green formulas are proved. The class of the measures on CS is studied and sufficient conditions for existence and uniqeness of such measures are proposed. Thesis has theoretical character. Results may be used in the following investigation of the measures and operators on CS.

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Files

DISSER.PDF

aref.doc

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