Fedynyak S. Asymptotic properties of derivatives of Dirichlet series.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U001475

Thesis Registration Form

0400U001475.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

18-05-2000

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

Dirichlet series with nonnegative exponents are investigated. The generalization of Sheremeta theorem is obtained for Dirichlet series with arbitrary abscissa of absolute convergence. The sharpness of the such estimates is proved. For the functions represented by absolutely convergent Dirichlet series a concept of bounded linear l-M -index is introduced. The necessary and sufficient condition for the function to be of bounded linear l-M -index has been found.

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