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Analytic Extension of Functions from Analytic Hilbert Spaces

Authors:	Kai WANG

Affiliation:	School of Mathematical Sciences,Fudan University,Shanghai 200433,China

Abstract:	Let M be an invariant subspace of $H^{2}_{v}$ . It is shown that for each f ∈ M ^⊥, f can be analytically extended across ∂ ${partial mathbb{B}_{d} } mathord{left/ {vphantom {{partial mathbb{B}_{d} } {sigma {left( {S_{{z_{1} }} , cdots ,S_{{z_{d} }} } right)}}}} right. kern-nulldelimiterspace} {sigma {left( {S_{{z_{1} }} , cdots ,S_{{z_{d} }} } right)}}.$ *Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education.

Keywords:	Analytic Hilbert space Spectrum Analytic extension
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