Parfyonova N. Meromorphic almost periodic functions and their generalizations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U000302

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-01-2003

Specialized Academic Board

К 64.051.11

V.N. Karazin Kharkiv National University

Essay

Meromorphic almost periodic functions and holomorphic almost periodic mappings in a projective space are studied. We obtain a necessary and sufficient condition for the product of two meromorphic almost periodic functions in a strip to be an almost periodic one. Divisors of meromorphic almost periodic functions in a strip are described. We show that each meromorphic almost periodic function is a ratio of two holomorphic almost periodic functions.

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