Rakhnin A. Almost periodic subharmonic functions and almost periodic measures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U003106

Thesis Registration Form

0410U003106.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

16-04-2010

Specialized Academic Board

К64.051.11

Essay

New results about almost periodic subharmonic functions in the horizontal strip are obtained. We show that the class of subharmonic almost periodic functions in the sense of distributions, coincides with the class of Stepanov almost periodic subharmonic functions. We prove that the Fourier-Bohr coefficients of the subharmonic almost periodic functions are continuous functions. We describe a Riesz measures of the subharmonic almost periodic functions no more than linear growth in C.

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Files

aref.pdf

dis.pdf

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