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Zero-based subspaces and quasi-invariant subspaces of the Bargmann-Fock space |
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| Authors: | ShengZhao Hou ShuYun Wei DeChao Zheng KeHe Zhu |
| Affiliation: | 1. Department of Mathematics, Soochow University, Suzhou, 215006, China 2. Department of Mathematics, Vanderbilt university, Nashville, TN, 37240, USA 3. The Center of Mathematics, Chongqing University, Chongqing, 400044, China 4. Department of Mathematics and Statistics, State University of New York at Albany, Albany, NY, 12222, USA |
| Abstract: | We use the Weierstrass σ-function associated with a lattice in the complex plane to construct finite dimensional zero-based subspaces and quasi-invariant subspaces of given index in the Bargmann-Fock space. |
| Keywords: | Bargmann-Fock space index of quasi-invariant subspace zero-based subspaces |
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