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A Constructive Proof of Beurling-Lax Theorem |
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Citation: |
Qiuhui CHEN,Tao QIAN.A Constructive Proof of Beurling-Lax Theorem[J].Chinese Annals of Mathematics B,2015,36(1):141~146 |
Page view: 1521
Net amount: 1126 |
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). |
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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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