Zobrazeno 1 - 10
of 136
pro vyhledávání: '"Bauer, Wolfram"'
We consider various classes of bounded operators on the Fock space $F^2$ of Gaussian square integrable entire functions over the complex plane. These include Toeplitz (type) operators, weighted composition operators, singular integral operators, Volt
Externí odkaz:
http://arxiv.org/abs/2405.20792
Four subriemannian (SR) structures over the Euclidean sphere $\mathbb{S}^7$ are considered in accordance to the previous literature. The defining bracket generating distribution is chosen as the horizontal space in the Hopf fibration, the quaternioni
Externí odkaz:
http://arxiv.org/abs/2403.10157
$H$-type foliations $(\mathbb{M},\mathcal{H},g_{\mathcal{H}})$ are studied in the framework of sub-Riemannian geometry with bracket generating distribution defined as the bundle transversal to the fibers. Equipping $\mathbb{M}$ with the Bott connecti
Externí odkaz:
http://arxiv.org/abs/2209.02168
Autor:
Bauer, Wolfram, Fulsche, Robert
The resolvent algebra $\mathcal{R}(X, \sigma)$ associated to a symplectic space $(X, \sigma)$ was introduced by D. Buchholz and H. Grundling as a convenient model of the canonical commutation relation (CCR) in quantum mechanics. We first study a repr
Externí odkaz:
http://arxiv.org/abs/2208.06591
Publikováno v:
Journal of Functional Analysis, Volume 284, Issue 4, 2023
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 Lipschitz continuous derivatives, which is the natural class of Hamiltonian f
Externí odkaz:
http://arxiv.org/abs/2202.04687
Trivializable and quaternionic subriemannian structure on $\mathbb{S}^7$ and subelliptic heat kernel
Autor:
Bauer, Wolfram, Laaroussi, Abdellah
On the seven dimensional Euclidean sphere $\mathbb{S}^7$ we compare two subriemannian structures with regards to various geometric and analytical properties. The first structure is called trivializable and the underlying distribution $\mathcal{H}_T$
Externí odkaz:
http://arxiv.org/abs/2102.04784
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. We observe that these pairs are also isospectral with respect to the L
Externí odkaz:
http://arxiv.org/abs/1911.02378
Autor:
Bauer, Wolfram, Fulsche, Robert
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 $(1\leq p \leq \infty)$. We present an overview of recent results by various authors on the com
Externí odkaz:
http://arxiv.org/abs/1905.12246