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| The Codimension Formula on Quasi-Invariant Subspaces of the Fock Space |
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Citation： |
HOU Shengzhao,HU Junyun.The Codimension Formula on Quasi-Invariant Subspaces of the Fock Space[J].Chinese Annals of Mathematics B,2003,24(3):343~348 |
| Page view： 1242
Net amount： 936 |
Authors： |
HOU Shengzhao; HU Junyun |
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| Abstract： |
Let $M$ be an approximately finite codimensional quasi-invariant
subspace of the Fock space. This paper gives a formula to calculate the
codimension of such spaces and uses this formula to study the
structure of quasi-invariant subspaces of the Fock space.
Especially, as one of applications, it is showed that the analogue of
Beurling's theorem is not true for the Fock space $L^2_a({\Bbb
C}^n)$ in the case of $n\geq 2$. |
Keywords： |
Codimension formula, Quasi-invariant subspaces, Fock space |
Classification： |
46C99, 46E99 |
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