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Analytic Extension of Functions from Analytic Hilbert Spaces |
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Citation: |
Kai WANG.Analytic Extension of Functions from Analytic Hilbert Spaces[J].Chinese Annals of Mathematics B,2007,28(3):321~326 |
Page view: 1066
Net amount: 893 |
Authors: |
Kai WANG; |
Foundation: |
Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education. |
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Abstract: |
Let $M$ be an invariant subspace of $H^2_v.$ It is shown that for each $f\in M^\perp,$ $f$ can be analytically extended across $\partial {\mathbb{B}}_d \backslash \sigma(S_{z_1}, \cdots, S_{z_d}).$ |
Keywords: |
Analytic Hilbert space, Spectrum, Analytic extension |
Classification: |
47B35, 47B20 |
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