Remarks on mapping properties for the Bargmann transform on modulation spaces
✍ Scribed by Signahl, Mikael; Toft, Joachim
- Book ID
- 121327019
- Publisher
- Taylor and Francis Group
- Year
- 2011
- Tongue
- English
- Weight
- 119 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1065-2469
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📜 SIMILAR VOLUMES
We study the Segal Bargmann transform on a symmetric space X of compact type, mapping L 2 (X ) into holomorphic functions on the complexification X C . We invert this transform by integrating against a ``dual'' heat kernel measure in the fibers of a natural fibration of X C over X. We prove that the
## 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