3 citations · 6 across the 4 of their papers we have counts for
4 papers
Intrinsic notion of principal symbol for the Heisenberg calculus
Raphael Ponge
In this paper we define an intrinsic notion of principal for the Hypoelliptic calculus on Heisenberg manifolds. More precisely, the principal symbol of a \psivdo appears as a homog…
Functional calculus and spectral asymptotics for hypoelliptic operators on Heisenberg Manifolds. I
Raphael Ponge
This paper is part of a series papers devoted to geometric and spectral theoretic applications of the hypoelliptic calculus on Heisenberg manifolds. More specifically, in this pape…
On the Asymptotic Completeness of the Volterra Calculus
Raphael Ponge
The Volterra calculus is a simple and powerful pseudodifferential tool for inverting parabolic equations and it has also found many applications in geometric analysis. On the other…
Cayley-Hamilton Decomposition and Spectral Asymmetry
Raphael Ponge
This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.