A note on the heat kernel on the Heisenberg group

Adam Sikora, Jacek Zienkiewicz

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We describe the analytic continuation of the heat kernel on the Heisenberg group ℍn(ℝ). As a consequence, we show that the convolution kernel corresponding to the Schrödinger operator eisL is a smooth function on ℍn(ℝ) \ Ss, where Ss = ((0,0,±sk) ∈ ℍn(ℝ): k = n, n + 2, n + 4, …). At every point of Ss the convolution kernel of eisL has a singularity of Calderón-Zygmund type.

Original languageEnglish
Pages (from-to)115-120
Number of pages6
JournalBulletin of the Australian Mathematical Society
Volume65
Issue number1
Publication statusPublished - 2002
Externally publishedYes

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