Hartmut Führ – Publications
Preprints
(with R. Duits, B. Janssen, M. Bruurmijn, L. Florack, H. von Assen) Evolution equations on Gabor transforms and their applications (Preprint-Version im arXiv)(with T. Aach) Shift Variance, Cyclostationarity and Expected Shift Variance in Multirate LPSV Filter Banks with Random Input Signals
(mit I. Pesenson) Poincare and Plancherel-Polya inequalities for Shannon sampling on graphs
(Preprint version on the arXiv)
(with J. Bruna, J. Cufí, M. Miró) Characterizing abelian admissible groups
(Preprint version available on the arXiv)
(with A. Mayeli) Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization
(Preprint version available on the arXiv)
Journal papers
(with J. Emonds) Strictly positive definite functions on compact abelian groupsProceeding 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 transformsLecture notes in mathematics 1863 (Springer Verlag, 2005)
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