THE UNIFORMLY SUMMATION OF BIORTHOGONAL EXPANSIONS BY THE INCOMPLETE SYSTEM OF RATIONAL FUNCTIONS IN HARDY’S SPACES

M. S. Martirosyan

doi:10.46991/PYSU:A/2004.38.3.035

THE UNIFORMLY SUMMATION OF BIORTHOGONAL EXPANSIONS BY THE INCOMPLETE SYSTEM OF RATIONAL FUNCTIONS IN HARDY’S SPACES

Authors

M. S. Martirosyan Chair of Mathematical Analyses, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2004.38.3.035

Keywords:

Hardy’s $H^p( 1<p<\infty)$ spaces, complex plane, biorthogonal expansions

Abstract

The biorthogonal expansions in Hardy’s $H^p( 1<p<\infty)$ spaces by the incomplete system of rational functions are uniformly summated on the compact subsets of complex plane on positive distance from the set of poles of system's functions.

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Published

2004-10-19

How to Cite

Martirosyan, M. S. (2004). THE UNIFORMLY SUMMATION OF BIORTHOGONAL EXPANSIONS BY THE INCOMPLETE SYSTEM OF RATIONAL FUNCTIONS IN HARDY’S SPACES. Proceedings of the YSU A: Physical and Mathematical Sciences, 38(3 (205), 35–41. https://doi.org/10.46991/PYSU:A/2004.38.3.035