Segal-Bargmann transform and Paley-Wiener theorems on motion groups

DOI10.2977/PRIMS/23zbMath1201.22007arXiv1001.2119MaRDI QIDQ710662

Suparna Sen

Publication date: 20 October 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2119

zbMATH Keywords

Segal-Bargmann transformPoisson integralsPaley-Wiener theorems

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• Unnamed Item
• Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• The Segal-Bargmann transform for noncompact symmetric spaces of the complex type
• Analytic and Entire Vectors for Representations of Lie Groups
• Complex Fourier Analysis on a Nilpotent Lie Group