Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Jens Gerlach"'
We classify self-adjoint first-order differential operators on weighted Bergman spaces on the $N$-dimensional unit ball $\mathbb{B}^N$ and $\mathbb{D}^2$ of $2\times2$ complex matrices satisfying $I-ZZ^*>0$.Our main tools are the discrete series repr
Externí odkaz:
http://arxiv.org/abs/2404.10882
We classify self-adjoint first-order differential operators on weighted Bergman spaces on the unit disc and answer questions related to uncertainty principles for such operators. Our main tools are the discrete series representations of $\mathrm{SU}(
Externí odkaz:
http://arxiv.org/abs/2206.10568
We provide a large family of atoms for Bergman spaces on irreducible bounded symmetric domains. This vastly generalizes results by Coifman and Rochberg from 1980. The atomic decompositions are derived using the holomorphic discrete series representat
Externí odkaz:
http://arxiv.org/abs/2004.03684
Autor:
Christensen, Jens Gerlach
We use the author's previous work on atomic decompositions of Besov spaces with spectrum on symmetric cones, to derive new atomic decompositions for Bergman spaces on tube type domains. It is related to work by Ricci and Taibleson who derived decompo
Externí odkaz:
http://arxiv.org/abs/1708.03043
Recently representation theory has been used to provide atomic decompositions for a large collection of classical Banach spaces. In this paper we extend the techniques to also include projective representations. As our main application we obtain atom
Externí odkaz:
http://arxiv.org/abs/1704.02522
Autor:
Christensen, Jens Gerlach
In this paper we extend the atomic decompositions previously obtained for Besov spaces related to the forward light cone to general symmetric cones. We do so via wavelet theory adapted to the cone. The wavelet transforms sets up an isomorphism betwee
Externí odkaz:
http://arxiv.org/abs/1303.2759
Function spaces are central topic in analysis. Often those spaces and related analysis involves symmetries in form of an action of a Lie group. Coorbit theory as introduced by Feichtinger and Gr\"ochenig and then later extended in [3] gives a unified
Externí odkaz:
http://arxiv.org/abs/1110.6676
A connected homogeneous space X=G/K is called commutative if G is a connected Lie group, $K$ is a compact subgroup and the B*-algebra L^1(X)^K of K-invariant integrable function on X is commutative. In this article we introduce the space L^2_A (X) of
Externí odkaz:
http://arxiv.org/abs/1107.4578
Autor:
Christensen, Jens Gerlach
We present sampling theorems for reproducing kernel Banach spaces on Lie groups. Recent approaches to this problem rely on integrability of the kernel and its local oscillations. In this paper we replace the integrability conditions by requirements o
Externí odkaz:
http://arxiv.org/abs/1008.0627
We show that a well known uncertainty principle for functions on the circle can be derived from an uncertainty principle for the Euclidean motion group.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/math/0401435