FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 2, PAGES 487-517

Systems of expansions similar to orthogonal systems

T. P. Lukashenko

Abstract

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Systems of expansions similar to orthogonal systems are considered. For these systems are valid the analogs of Parseval--Plancheral equality and reconstruction formula that is analogous to the reconstruction formula for orthogonal systems. Constructions of systems of expansions are given.

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Last modified: January 13, 2000