Uniqueness Theorems for Generalized Haar Systems


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Abstract

A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a certain necessary condition on the distribution function of the majorant of partial sums.

About the authors

G. G. Gevorkyan

Yerevan State University

Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan, 375025

K. A. Navasardyan

Yerevan State University

Email: ggg@ysu.am
Armenia, Yerevan, 375025

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