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A Beurling-type theorem for the Fock space |
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| Authors: | Xiaoman Chen Shengzhao Hou |
| Institution: | Institute of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China ; Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People's Republic of China |
| Abstract: | Let  be a finite codimensional quasi-invariant subspace of the Fock space  . Then there exists a polynomial  such that ![$M=q]$](http://www.ams.org/proc/2003-131-09/S0002-9939-03-06803-5/gif-abstract0/img4.gif){kind=small} . We show that ![$q]\ominus zq]$](http://www.ams.org/proc/2003-131-09/S0002-9939-03-06803-5/gif-abstract0/img5.gif){kind=small} generates  if and only if  for some  . |
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