Analytic Extension of Functions from Analytic Hilbert Spaces

Citation:

Kai WANG.Analytic Extension of Functions from Analytic Hilbert Spaces[J].Chinese Annals of Mathematics B,2007,28(3):321~326
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Authors:

Kai WANG;

Foundation:

Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education.
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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