Mathematics

The uniformly summation of biorthogonal expansions by the incomplete system of rational functions in Hardy’s spaces

M. S. Martirosyan

Yerevan State University

Abstract: The biorthogonal expansions in Hardy’s $\mathbf{H}^p (1 <p<\infty)$ 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.

Keywords: c biorthogonal expansions.

UDC: 517.53

Received: 29.04.2004
Accepted: 19.10.2004