Radchenko L. New bonds of subharmonic functions and their Riesz measures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U002994

Thesis Registration Form

0414U002994.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-09-2014

Specialized Academic Board

Д 64.175.01

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

The thesios is devoted to relations between growth of analytic functions and their zeros distribution. Сonnections between growth subharmonic functions and their Riesz measures are studied. An analog of the Blaschke condition for functions that grow near a certain part of the boundary is derived, the problem is solved for unit circle, unit n-dimensional ball and the complement of a compact subset of Rn. Normal functions in the punctured plane are studied, their properties are analyzed, a representation of any normal function in terms of its zeros and poles is proved.

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Files

aref.pdf

dis.pdf

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