Title: Coefficients with respect to orthogonal-like decomposition systems
Abstract: Properties of orthogonal-like decomposition systems are analyzed. It is shown in ?1 that such systems have most properties of orthogonal systems; the properties of the coefficients of the corresponding expansions are studied. A?criterion enabling one to determine whether an?orthogonal-like system is an orthogonal projection of an?orthogonal system is established in ?2. In ?3 it is shown that Parseval's equality holds for a?system satisfying certain natural conditions if and only if this is an?orthogonal-like decomposition system.
Publication Year: 1997
Publication Date: 1997-12-31
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 5
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