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A simple construction of exponential bases in L 2 of the union of several intervals

Kristian Seip

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Source: Crossref

Published: Feb 1, 1995

DOI: 10.1017/s0013091500006295

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Source abstract

It is proved that every space L 2 ( I 1 , ∪ I 2 ), where I 1 and I 2 are finite intervals, has a Riesz basis of complex exponentials , {λ k } a sequence of real numbers. A partial result for the corresponding problem for n ≧3 finite intervals is also obtained.

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A simple construction of exponential bases in L 2 of the union of several intervals — Mathematical Frontier Network