A Constructive Proof of Beurling-Lax Theorem

Citation:

Qiuhui CHEN,Tao QIAN.A Constructive Proof of Beurling-Lax Theorem[J].Chinese Annals of Mathematics B,2015,36(1):141~146
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Authors:

Qiuhui CHEN; Tao QIAN;

Foundation:

the Multi-Year Research Grant (No.MYRG115(Y1-L4)-FST13-QT), the Multi-Year Research Grant (No.MYRG116(Y1-L3)-FST13-QT), Macau Government (No. FDCT 098/2012/A3), and the Natural Science Foundation of Guangdong Province (No. S2011010004986).
Abstract: This paper deals with an alternative proof of Beurling-Lax theorem by adopting a constructive approach instead of the isomorphism technique which was used in the original proof.

Keywords:

Beurling-Lax theorem, Shift operator, Inner function

Classification:

30K99, 42A36
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