9 citations · 14 across the 13 of their papers we have counts for
15 papers
Characterization and Construction of Pairwise Orthogonal Parseval Frames with Applications to Sampling
Navneet Redhu, Anupam Gumber, Hartmut Führ +1
In this paper, we provide a characterization of pairwise orthogonal frames with generalized translation-invariant (GTI) structures, based on the unconditional convergence property…
Heisenberg uncertainty inequalities for locally compact abelian groups
Hartmut Führ
We prove a version of Heisenberg's uncertainty principle for a rather general class of locally compact abelian groups. We compare the lower bound provided by our approach with the…
Translation complete subgroups of affine Weyl-Heisenberg groups and their generalized wavelet systems
Hartmut Führ, Narjes Rashidi
The -dimensional affine Weyl-Heisenberg group is a Lie group typically parameterized as $G_{aWH} = \mathbb{T} \times \mathbb{R}^n \times \widehat{\mathbb{R}^n} \times \mathrm{GL…
Cheeger Bounds for Stable Phase Retrieval in Reproducing Kernel Hilbert Spaces
Hartmut Führ, Max Getter
Phase retrieval seeks to reconstruct a signal from phaseless intensity measurements and, in applications where measurements contain errors, demands stable reconstruction. We study…
Classifying Wavelet Coorbit Spaces in Dimension 2
Noufal Asharaf, Hartmut Führ, Vaishakh Jayaprakash
Coorbit spaces provide a rigorous framework for the assessment of the approximation theoretic properties of generalized wavelet systems. It is therefore useful to understand when t…
Wavelet characterizations of the Sobolev wavefront set: bandlimited wavelets and compactly supported wavelets
Hartmut Führ, Mahya Ghandehari
We consider the problem of characterizing the Sobolev wavefront set of a tempered distribution in terms of its continuous wavelet transform, with…
Coorbit spaces associated to integrably admissible dilation groups
Hartmut Führ, Jordy Timo van Velthoven
This paper considers coorbit spaces parametrized by mixed, weighted Lebesgue spaces with respect to the quasi-regular representation of the semi-direct product of Euclidean space a…
Groups with frames of translates
Hartmut Fuhr, Vignon Oussa
Let be a locally compact group with left regular representation We say that admits a frame of translates if there exist a countable set and $φ\in L^{2…
Integrable wavelet transforms with abelian dilation groups
Bradley Currey, Hartmut Führ, Keith Taylor
We consider a class of semidirect products , with a suitably chosen abelian matrix group. The choice of ensures that there is a wavelet inversio…
On biunimodular vectors for unitary matrices
Hartmut Führ, Ziemowit Rzeszotnik
A biunimodular vector of a unitary matrix is a vector $v \in \mathbb{T}^n\subset\bc^n$ such that as well. Over the last 30 years, the sets of biu…
Vanishing moment conditions for wavelet atoms in higher dimensions
Hartmut Führ
We provide explicit criteria for wavelets to give rise to frames and atomic decompositions in , but also in more general Banach function spaces. We conside…
Characterizing abelian admissible groups
Joaquim Bruna, Julià Cufí, Hartmut Führ +1
By definition, admissible matrix groups are those that give rise to a wavelet-type inversion formula. This paper investigates necessary and sufficient admissibility conditions for…
Cubature formulas on combinatorial graphs
Isaac Z. Pesenson, Meyer Z. Pesenson, Hartmut F"uhr
The goal of the paper is to establish cubature formulas on combinatorial graphs. Two types of cubature formulas are developed. Cubature formulas of the first type are exact on spac…
A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups
Hartmut Führ
We introduce a general definition of homogeneous Besov spaces on a stratified Lie group , based on a Littlewood-Paley-type decomposition of Schwartz functions with all moments v…
Generalized Calderón conditions and regular orbit spaces
Hartmut Führ
The construction of generalized continuous wavelet transforms on locally compact abelian groups from quasi-regular representations of a semidirect product group $G = A \rtimes…