Rankin-Cohen brackets on pseudodifferential operators (Q865306)
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scientific article; zbMATH DE number 5125941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rankin-Cohen brackets on pseudodifferential operators |
scientific article; zbMATH DE number 5125941 |
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Rankin-Cohen brackets on pseudodifferential operators (English)
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14 February 2007
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In this paper, the authors study on bilinear forms on the space of pseudodifferential operators which correspond to Rankin-Cohen brackets for Jacobi-like forms. They give an analog of the heat operator on the space of pseudodifferential operators. By using this, they construct a bilinear operator. They also discuss generalized Rankin-Cohen brackets on modular forms. Finally, they give some applications related to theta functions.
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modular forms
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theta functions
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Jacobi forms
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Rankin-Cohen brackets
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