Segal–Bargmann and Weyl transforms on compact Lie groups
✍ Scribed by Joachim Hilgert; Genkai Zhang
- Publisher
- Springer Vienna
- Year
- 2008
- Tongue
- English
- Weight
- 246 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0026-9255
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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
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