A Beurling-type theorem for the Fock space

Authors:
Xiaoman Chen and Shengzhao Hou

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2791-2795

MSC (2000):
Primary 46J15, 46H25, 47A15

DOI:
https://doi.org/10.1090/S0002-9939-03-06803-5

Published electronically:
January 8, 2003

MathSciNet review:
1974336

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a finite codimensional quasi-invariant subspace of the Fock space . Then there exists a polynomial such that . We show that generates if and only if for some .

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Additional Information

**Xiaoman Chen**

Affiliation:
Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China

Email:
xchen@fudan.edu.cn

**Shengzhao Hou**

Affiliation:
Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People’s Republic of China

Address at time of publication:
Institute of Mathematics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

Email:
szhou@etang.com

DOI:
https://doi.org/10.1090/S0002-9939-03-06803-5

Received by editor(s):
November 6, 2001

Received by editor(s) in revised form:
April 2, 2002

Published electronically:
January 8, 2003

Additional Notes:
This work was supported by NSFC, Lab Math. for Nonlinear Sciences at Fudan Univ., Fund of Shanxi Province for young people

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2003
American Mathematical Society