Coherent State Transforms and Abelian Varieties
✍ Scribed by Carlos A. Florentino; José M. Mourão; João P. Nunes
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 159 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-1236
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## Abstract We construct a family of coherent states transforms attached to generalized Bargmann spaces [C. R. Acad. Sci. Paris, t. 325, 1997] in the complex plane. This constitutes another way of obtaining the kernel of an isometric operator linking the space of square integrable functions on the
## Abstract In a previous paper we showed that for every polarization on an abelian variety there is a dual polarization on the dual abelian variety. In this note we extend this notion of duality to families of polarized abelian varieties. As a main consequence we obtain an involution on the set of