9 citations · 25 across the 11 of their papers we have counts for
13 papers
Sub-Laplacians on Compact Lie Groups: Heat Kernels, Distance, and Zeta Determinants
Wolfram Bauer, Zhicheng Han, Zhipeng Yang
We study heat kernels, sub-Riemannian distances, and spectral zeta functions of sub-Laplacians determined by closed connected subgroups of compact Lie groups. Combining Hall's inve…
Local Invariants and Geometry of the sub-Laplacian on H-type Foliations
Wolfram Bauer, Irina Markina, Abdellah Laaroussi +1
-type foliations are studied in the framework of sub-Riemannian geometry with bracket generating distribution defined as the bundle tr…
Resolvent algebra in Fock-Bargmann representation
Wolfram Bauer, Robert Fulsche
The resolvent algebra associated to a symplectic space was introduced by D. Buchholz and H. Grundling as a convenient model of the canonical commutatio…
Self-Adjointness of Toeplitz Operators on the Segal-Bargmann Space
Wolfram Bauer, Lauritz van Luijk, Alexander Stottmeister +1
We prove a new criterion that guarantees self-adjointness of Toeplitz operator with unbounded operator-valued symbols. Our criterion applies, in particular, to symbols with Lipschi…
Trivializable and quaternionic subriemannian structure on and subelliptic heat kernel
Wolfram Bauer, Abdellah Laaroussi
On the seven dimensional Euclidean sphere we compare two subriemannian structures with regards to various geometric and analytical properties. The first structure is…
Spectral theory of a class of nilmanifolds attached to clifford modules
Wolfram Bauer, Kenro Furutani, Chisato Iwasaki +1
We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-diffeomorphic nilmanifolds with respect to the sub-Laplacian.…