Publications of the Research Institute for Mathematical Sciences
Full-Text PDF (294 KB) | Table of Contents | PRIMS summary
Segal–Bargmann Transform and Paley–Wiener Theorems on Motion Groups
Suparna Sen (1)(1) Department of Mathematics, Indian Institute of Science, 560 012, BANGALORE, INDIA
We study the Segal–Bargmann transform on a motion group ℝn ⋉ K, where K is a compact subgroup of SO(n). A characterization of the Poisson integrals associated to the Laplacian on ℝn ⋉ K is given. We also establish a Paley–Wiener type theorem using complexified representations.
Keywords: Segal–Bargmann transform, Poisson integrals, Paley–Wiener theorems