Kuryliak A. Asymptotic properties of random power series in the disc and in the space

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U005802

Thesis Registration Form

0412U005802.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

27-09-2012

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the thesis sufficient and necessary conditions for fulfilling of Wiman’s type inequality without exceptional sets between maximum modulus of entire function of several variables and its coefficient’s l1-norm on the polydisc and maximal term of its power expansion are obtained. Also for random analytic functions in the probabilistic terms and in the terms of Baire categories quantity of functions, for which different analogues of Wiman’s type inequality can be improved, are described. Asymptotic properties of probability of absence zeros for some analytic gaussian functions are investigated.

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Files

aref.doc

dis.doc

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