Heat kernel transform for nilmanifolds associated to the Heisenberg group
B. Kroetz, S. Thangavelu, Y. Xu
Abstract
We study the heat kernel transform on a nilmanifold M of the Heisenberg group. We show that the image of L2(M) under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.
Create a lesson
Related papers
Morita Induction and Geometric Ideals in p Roe-Type Algebras
Yeong Chyuan Chung, Xinhui Du
Graphs of operators as points in the Grassmann manifold
Esteban Andruchow, Lazaro Recht, Alejandro Varela
The Pego Theorem for the Hilbert--Schmidt Class
Yaogan Mensah
Inertia-Sensitive Kreiss Bounds for J-Selfadjoint Matrices
Thanh Nguyen-Cung, Binh T. Nguyen
Singular inner eigenfunctions of composition operators
V. A. Anjali, P. Muthukumar, P. Shankar
The Beurling density of the spectrum of self-similar measure generated by Hadamard triple
Zong-Sheng Liu, Xiao-Yu Yan