19 citations · 63 across the 16 of their papers we have counts for
22 papers
Fredholm operators on abelian phase spaces
Robert Fulsche, Raffael Hagger
We study the Fredholm property for linear operators on coorbit spaces over locally compact abelian phase spaces. As a special case we consider operators on , where is a…
Band-dominated and Fourier-band-dominated operators on locally compact abelian groups
Robert Fulsche, Raffael Hagger
By relating notions from quantum harmonic analysis and band-dominated operator theory, we prove that over any locally compact abelian group , the operator algebra …
Quantum harmonic analysis for polyanalytic Fock spaces
Robert Fulsche, Raffael Hagger
We develop the quantum harmonic analysis framework in the reducible setting and apply our findings to polyanalytic Fock spaces. In particular, we explain some phenomena observed in…
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
Simon N. Chandler-Wilde, Raffael Hagger, Karl-Mikael Perfekt +1
We say that , the boundary of a bounded Lipschitz domain, is locally dilation invariant if, at each , is either locally or locally coincides (in some coordinat…
Toeplitz and related operators on polyanalytic Fock spaces
Raffael Hagger
We give a characterization of compact and Fredholm operators on polyanalytic Fock spaces in terms of limit operators. As an application we obtain a generalization of the Bauer-Isra…
Toeplitz operators on the unit ball with locally integrable symbols
Raffael Hagger, Congwen Liu, Jari Taskinen +1
We study the boundedness of Toeplitz operators with locally integrable symbols on weighted harmonic Bergman spaces over the unit ball of . Generalizing earlier…
Bounded and compact Toeplitz+Hankel matrices
Torsten Ehrhardt, Raffael Hagger, Jani Virtanen
We show that an infinite Toeplitz+Hankel matrix generates a bounded (compact) operator on with if and only if both …
Essential Commutants and Characterizations of the Toeplitz Algebra
Raffael Hagger
In this paper we study the Toeplitz algebra, which is generated by Toeplitz operators with bounded symbols on the Fock space . We show that the Toeplitz algebra coincides wi…
Limit operators techniques on general metric measure spaces of bounded geometry
Raffael Hagger, Christian Seifert
We study band-dominated operators on (subspaces of) -spaces over metric measure spaces of bounded geometry satisfying an additional property. We single out core assumptions to…
Compact Hankel Operators with Bounded Symbols
Raffael Hagger, Jani Virtanen
We discuss the compactness of Hankel operators on Hardy, Bergman and Fock spaces with focus on the differences between the three cases, and complete the theory of compact Hankel op…
Algebras of Toeplitz operators on the -dimensional unit ball
Wolfram Bauer, Raffael Hagger, Nikolai Vasilevski
We study -algebras generated by Toeplitz operators acting on the standard weighted Bergman space over the unit ball in $\mathbb{…
Improved one-sided deviation inequalities under regularity assumptions for product measures
Kevin Tanguy
This note is concerned with lower tail estimates for product measures. Some improved deviation inequalities are obtained for functions satisfying some regularity and monotonicity a…
Limit Operators, Compactness and Essential Spectra on Bounded Symmetric Domains
Raffael Hagger
This paper is a follow-up to a recent article about the essential spectrum of Toeplitz operators acting on the Bergman space over the unit ball. As mentioned in the said article, s…
Fredholmness of Toeplitz operators on the Fock space
Robert Fulsche, Raffael Hagger
The Fredholm property of Toeplitz operators on the -Fock spaces on is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz alge…
The Essential Spectrum of Toeplitz Operators on the Unit Ball
Raffael Hagger
In this paper we study the Fredholm properties of Toeplitz operators acting on weighted Bergman spaces , where and $\mathbb{B}^n \subset \ma…
Toeplitz Quantization on Fock Space
Wolfram Bauer, Lewis Coburn, Raffael Hagger
For Toeplitz operators acting on the weighted Fock space , we consider the semi-commutator , where is a certain weight par…
Uniform Continuity and Quantization on Bounded Symmetric Domains
Wolfram Bauer, Raffael Hagger, Nikolai Vasilevski
We consider Toeplitz operators with symbol acting on the standard weighted Bergman spaces over a bounded symmetric domain . Here is…
On Symmetries of the Feinberg-Zee Random Hopping Matrix
Simon N. Chandler-Wilde, Raffael Hagger
In this paper we study the spectrum of the infinite Feinberg-Zee random hopping matrix, a tridiagonal matrix with zeros on the main diagonal and random 's on the first s…
Essential pseudospectra and essential norms of band-dominated operators
Raffael Hagger, Marko Lindner, Markus Seidel
An operator on an -space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. The coset of in th…
Symmetries of the Feinberg-Zee Random Hopping Matrix
Raffael Hagger
We study the symmetries of the spectrum of the Feinberg-Zee Random Hopping Matrix. Chandler-Wilde and Davies proved that the spectrum of the Feinberg-Zee Random Hopping Matrix is i…
The Eigenvalues of Tridiagonal Sign Matrices are Dense in the Spectra of Periodic Tridiagonal Sign Operators
Raffael Hagger
Chandler-Wilde, Chonchaiya and Lindner conjectured that the set of eigenvalues of finite tridiagonal sign matrices ( on the first sub- and superdiagonal, everywhere else…
On the Spectrum and Numerical Range of Tridiagonal Random Operators
Raffael Hagger
In this paper we derive an explicit formula for the numerical range of (non-self-adjoint) tridiagonal random operators. As a corollary we obtain that the numerical range of such an…