2 papers
math.OA2020
The Heisenberg Calculus, Index Theory and Cyclic (Co)homology
Alexander Gorokhovsky, Erik van Erp
A hypoelliptic operator in the Heisenberg calculus on a compact contact manifold is a Fredholm operator. Its symbol determines an element in the K-theory of the noncommutative alge…
math.FA2010
An index formula for the extended Heisenberg algebra of Epstein, Melrose and Mendoza
Erik van Erp
The extended Heisenberg algebra for a contact manifold has a symbolic calculus that accommodates both Heisenberg pseudodifferential operators as well as classical pseudodifferentia…