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A simple construction of exponential bases in L2 of the union of several intervals

Published online by Cambridge University Press:  20 January 2009

Kristian Seip
Kristian Seip
Affiliation:
Department of Mathematical SciencesNorwegian Institute of TechnologyN-7034 Trondheim, Norway E-mail: seip@imf.unit.no
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Abstract

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It is proved that every space L2 (I1, ∪ I2), where I1 and I2 are finite intervals, has a Riesz basis of complex exponentials , {λk} a sequence of real numbers. A partial result for the corresponding problem for n≧3 finite intervals is also obtained.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 171 - 177
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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