The heat kernel transform for the Heisenberg group
Abstract
The heat kernel transform Ht for the Heisenberg group is studied in detail. The main result shows that the image of Ht is a direct sum of two weighted Bergman spaces whose associated weighted functions are of oscillatory nature, i.e. attain positive and negative values.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.