Hartmut Führ – Publications
Preprints
Wavelet coorbit spaces beyond the
irreducible setting Preprint,
downloadable
here
(with J. Lemvig)
System bandwidth and
the existence of generalized shift-invariant frames
(Preprint version on the
arXiv)
(with B. Currey, V. Oussa)
A classification
of continuous wavelet transforms in dimension three
(Preprint version on the
arXiv)
(with J. Cheshmavar)
A classification
of anisotropic Besov spaces
(Preprint version on the
arXiv)
(with K. Gröchenig, A. Haimi, A. Klotz,
J.L. Romero)
Density of sampling and
interpolation in reproducing kernel Hilbert spaces
(Preprint version on the
arXiv)
(with G. Alberti, S. Dahlke, F. De Mari, E. De
Vito)
Recent progress in shearlet theory:
Construction of shearlet dilation groups, characterization of wavefront sets,
and new embeddings
(Preprint version on the
arXiv)
(with Y. Maus)
Wavelet Riesz bases
associated to nonisotropic dilations
(Preprint version on the
arXiv)
(with J. Xian)
Relevant sampling in finitely
generated shift-invariant spaces (Preprint version on the
arXiv)
(with R. Raisi-Tousi)
Simplified vanishing moment criteria for wavelets over general dilation groups, with applications to abelian and shearlet dilation groups (Preprint version on the
arXiv)
Journal papers
(with H. Feichtinger, I. Pesenson)
Geometric
space-frequency analysis on manifolds
Journal of Fourier Analysis and Applications
22 1294-1355 (2016)
(with J. Fell, F. Voigtlaender)
Resolution of
the wavefront set using general continuous wavelet transforms
Journal of Fourier Analysis and Applications
22 997-1058 (2016)
(with J. Xian)
Maximal discrepancy for
multiply generated shift-invariant spaces Archiv der
Mathematik
106 145-153 (2016)
Vanishing moment conditions for wavelet
atoms in higher dimensions Advances in Computational
Mathematics
42 127-153 (2016)
(with B. Currey, K. Taylor)
Integrable
wavelet transforms with abelian dilation groups
Journal of Lie Theory
26 567-596 (2016)
Coorbit spaces and wavelet coefficient decay
over general dilation groups Transactions of the AMS
367 7373-7401 (2015)
(with Z. Rzeszotnik)
On biunimodular
vectors for unitary matrices
Linear Algebra and its Applications
484, 86-129 (2015)
(with F. Voigtlaender)
Wavelet coorbit
spaces viewed as decomposition spaces Journal of Functional
Analysis
269 80-154 (2015)
(with J. Bruna, J. Cufí, M. Miró)
Characterizing abelian admissible groups
Journal of Geometric Analysis
25 1045-1074 (2015)
(with J. Lehmann, P. Tellers, H. Wagner)
Estimating characteristic phase and delay from broadband ITD tuning
curves. Journal of Computational Neuroscience
38 143-166 (2015)
(with J. Xian)
Quantifying invariance properties of shift-invariant spaces. Applied and Computational Harmonic Analysis
36 514-521 (2014)
(with T. Goeckel, G. Lakemeyer, H. Wagner)
Side peak suppression in responses to an across-frequency integration model to stimuli of varying bandwidth as demonstrated analytically and by implementation Journal of Computational Neuroscience
36 1-17 (2014)
(with I. Pesenson)
Poincare and Plancherel-Polya inequalities in harmonic analysis on weighted combinatorial graphs
SIAM Journal of Discrete Mathematics
27 2007-2028 (2013)
(with R. Duits, B. Janssen, M. Bruurmijn, L. Florack, H. von Assen)
Evolution equations on Gabor transforms and their applications
Applied and Computational Harmonic Analysis
35, 483-526 (2013)
(with T. Aach)
Shift Variance, Cyclostationarity and Expected Shift Variance in Multirate LPSV Filter Banks with
Random Input Signals IEEE Transactions on Signal Processing
60, 5125-5134 (2012)
(with A. Mayeli)
Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization
Journal of Function Spaces and Applications, Article ID
523586 (2012)
(with J. Emonds)
Strictly positive definite functions on compact abelian groups
Proceeding of the AMS
139, 1105-1113 (2011)
Generalized Calderón conditions and regular orbit spaces
Colloquium Mathematicum
120, 103-126 (2010)
Paley-Wiener estimates for the Heisenberg group
Mathematische Nachrichten
283, 200-214 (2010)
(with T. Aach)
On bounds of shift variance in multirate filter banks
IEEE Transactions on Signal Processing
57, 4292-4303 (2009)
Painless Gabor expansions on homogeneous manifolds
Applied and Computational Harmonic Analysis
29, 200-211 (2009)
Simultaneous
estimates for vector-valued Gabor frames of Hermite functions
Advances in Computational Mathematics
29, 357-373 (2008)
(with L. Demaret, F. Friedrich, K. Wicker)
Efficient moment computation
over polygonal domains with an application to rapid wedgelet
approximation
SIAM Journal on Scientific Computing
29,
842-863 (2007)
(with K. Gröchenig)
Sampling theorems on
locally
compact
groups from oscillation estimates
Mathematische Zeitschrift
255,
177-194 (2007)
(with H.G. Feichtinger, K. Gröchenig, N. Kaiblinger)
Operators
commuting with a discrete subgroup of translations
Journal of Geometric Analysis
16,
53-67
(2006)
Hausdorff-Young inequalities for group extensions Canadian
Mathematical Bulletin
49,
549-560 (2006)
(with M. Wild)
Characterizing wavelet coefficient decay of
discrete-time signals
Applied and Computational Harmonic Analysis
20, 184-201 (2006)
The weak Paley-Wiener property for group
extensions
Journal
of Lie Theory
15,
429–446 (2005)
(with O. Treiber, F. Wanninger, W. Panzer, D. Regulla, G.
Winkler)
An
adaptive algorithm for the detection of microcalcifications in
simulated
low-dose mammography
Physics in Medicine and Biology
48,
449–466 (2003)
(with S.T. Ali, A. Krasowska)
Plancherel inversion
as
unified
approach to wavelet transforms and Wigner functions
Annales Henri
Poincaré
4,
1015–1050 (2003)
Admissible vectors for the regular
representation
Proceedings of the AMS
130
2959–2970 (2002)
(with M. Mayer)
Continuous wavelet transforms from
semidirect
products: Cyclic representations and Plancherel measure
Journal
of
Fourier Analysis and Applications
8,
375–398 (2002)
Continuous wavelet transforms from semidirect
products
Revista Ciencias Matematicas
18, 149–161
(2000)
Continuous wavelet transforms with abelian
dilation groups
Journal of Mathematical Physics
39,
3974–3986 (1998).
(with W. Roelcke)
Contributions to the theory of
boundedness
in uniform spaces and topological groups
Note di Matematica
16,
189–226 (1996)
Wavelet frames and admissibility in higher
dimensions
Journal of Mathematical Physics
37,
6353–6366 (1996)
Proceedings papers and book chapters
Continuous diffusion wavelet transforms and scale spaces over Euclidean spaces and noncommutative Lie groups
Chapter 7 in Luc Florack et.al (eds.)
Mathematical Methods for
Signal and Image Analysis and Representation (Springer Verlag, 2012)
(with R. Duits, B. Janssen)
Left invariant evolution equations on Gabor transforms
Chapter 8 in Luc Florack et.al (eds.)
Mathematical Methods for
Signal and Image Analysis and Representation (Springer Verlag, 2012)
(with T. Aach)
Shift Variance, Cyclostationarity and Expected Shift Variance in Multirate LPSV Systems
in 2011 IEEE Statistical Signal Processing Workshop (SSP) (SSP'11)
(with D. Friedrich, X. Aubert, A. Brauers)
Heart rate estimation on a beat-to-beat basis via ballistocardiography: a hybrid approach
Conf. Proc. IEEE Eng. Med. Biol. 1:4048-51 (2010)
(with L. Demaret, F. Friedrich)
Beyond
wavelets:
New
image
representation paradigms
Chapter 7 in M. Barni
(ed.): Document and Image
Compression. (CRC Press, 2006)
(with L. Demaret, F. Friedrich, T. Szygowski)
Multiscale
wedgelet
denoising algorithms
Proceedings
of the SPIE
5914,
59140X (2005).
Admissible vectors and traces on the commuting
algebra
Institute
of
Physics
Conference Series
173, 867–874
(2003)
(with O.Treiber, F. Wanninger)
Cluster-oriented detection
of microcalcifications in simulated low-dose mammography
Bildverarbeitung
für die Medizin, 96–100 (2003)
Plancherel transform criteria for
Weyl-Heisenberg
frames
with integer oversampling
Wavelets and
their
applications (Chennai), 141–150 (2003)
(with W.-L. Hwang, B. Torrésani)
Shape from
texture
using
continuous wavelet transform
Proceedings of the SPIE
4119, 93–107 (2000)
Books
Abstract harmonic
analysis of continuous wavelet transforms
Lecture notes in mathematics
1863
(Springer Verlag, 2005)
More details
here
Lehrstuhl A für Mathematik
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07.05.2018