W. Bauer

collaborators

3 papers

math.SP2019

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.…

math.OA2019

Berger-Coburn theorem, localized operators, and the Toeplitz algebra

Wolfram Bauer, Robert Fulsche

We give a simplified proof of the Berger-Coburn theorem on the boundedness of Toeplitz operators and extend this theorem to the setting of $p$ -Fock spaces $(1 \leq p \leq \infty)$ .…

math.AP2019

The fundamental solution of a class of ultra-hyperbolic operators on Pseudo $H$ -type groups

Wolfram Bauer, André Froehly, Irina Markina

Pseudo $H$ -type Lie groups $G_{r, s}$ of signature $(r, s)$ are defined via a module action of the Clifford algebra $C ℓ_{r, s}$ on a vector space $V ≅ R^{2 n}$ . They fo…

Spectral theory of a class of nilmanifolds attached to clifford modules

Berger-Coburn theorem, localized operators, and the Toeplitz algebra

The fundamental solution of a class of ultra-hyperbolic operators on Pseudo H-type groups

The fundamental solution of a class of ultra-hyperbolic operators on Pseudo $H$ -type groups