Detlef Müller
Published 2014-08-12Version 1
In these lecture notes, the representation theory of the Heisenberg group as well as Howe's construction of the metaplectic group by means of twisted convolution operators with generalized, complex Gaussians are reviewed, and it is shown how these tools can be successfully applied to the study of local solvability for second order left-invariant differential operators on the Heisenberg group.
Comments: ICMS-Instructional Conference, Edinburgh 7.-13.4.1999
Gradient-type systems on unbounded domains of the Heisenberg group
$C^{1,α}$-Regularity for variational problems in the Heisenberg group
Decay estimates for a class of wave equations on the Heisenberg group
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