𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The Segal–Bargmann Transform on a Symmet
✍ Matthew B. Stenzel 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 161 KB

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

Lp−Lq Estimates for Orbital Measures and
✍ F. Ricci; G. Travaglini 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 427 KB

Let \(\mu\) be an invariant measure on a regular orbit in a compact Lie group or in a Lie algebra. We prove sharp \(L^{\prime \prime}-L^{4}\) estimates for the convolution operators defined through \(\mu\). We also obtain similar results for the related Radon transform on the Lie algebra. 1945 Acade