A simple construction of exponential bases in L2 of the union of several intervals-Reference-Cited by-同舟云学术

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

Published:1995-02 Issue:1 Volume:38 Page:171-177
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Seip Kristian

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Basicity of an exponential system and Muckenhoupt's condition;Pavlov;Soviet Math. Dokl.,1979

2. 6. Yu. I. Lyubarskii, Private Communication, 1993.

3. On the question of Riesz bases of complex exponential functions in L2;Avdonin;Vestnik Leningrad Univ. Ser. Mat.,1974

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