Tkachuk M. Local and global characteristics of convex sets

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U001036

Thesis Registration Form

0408U001036.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

04-03-2008

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is devoted to research of properties of generalized convex sets and finding of various connections them with problems of analysis, geometry and topology. It is proved that the boundary of a fiber convex bounded domain in with smooth boundary is a cohomological sphere. Studied representation in the form of series of the most "elementary" fractions of function of many complex variables golomorphic on a linearly convex compact K. The generalized Mizel's problem decided for the compact sets.

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Files

Aref.pdf

Disertacia.pdf

avtoreferat.pdf

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