Transversally elliptic operators

Richard Beals, Bernard Gaveau, Peter Greiner, Yakar Kannai

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We define a class of degenerate elliptic operators of second order, for which it is possible to calculate the Green kernel and the heat kernel. The exact formula for the Green kernel can be used to study the points where the operator is analytic hypoelliptic or to study the Gevrey regularity. The heat kernel is always analytic for positive time.

Original languageEnglish
Pages (from-to)531-576
Number of pages46
JournalBulletin des Sciences Mathematiques
Issue number7
StatePublished - Aug 2004
Externally publishedYes


  • Degenerate elliptic operators
  • Gevrey class
  • Subelliptic operators


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