Analysis und Zahlentheorie

Prof. Dr. A. Krieg

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)

(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)

Mathematische Zeitschrift 255, 177-194 (2007)

(with H.G. Feichtinger, K. Gröchenig, N. Kaiblinger)

Journal of Geometric Analysis 16, 53-67 (2006)

Canadian Mathematical Bulletin 49, 549-560 (2006)

(with M. Wild)

Applied and Computational Harmonic Analysis 20, 184-201 (2006)

Journal of Lie Theory 15, 429–446 (2005)

(with O. Treiber, F. Wanninger, W. Panzer, D. Regulla, G. Winkler)

Physics in Medicine and Biology 48, 449–466 (2003)

(with S.T. Ali, A. Krasowska)

Annales Henri Poincaré 4, 1015–1050 (2003)

Proceedings of the AMS 130 2959–2970 (2002)

(with M. Mayer)

Journal of Fourier Analysis and Applications 8, 375–398 (2002)

Revista Ciencias Matematicas 18, 149–161 (2000)

Journal of Mathematical Physics 39, 3974–3986 (1998).

(with W. Roelcke)

Note di Matematica 16, 189–226 (1996)

Journal of Mathematical Physics 37, 6353–6366 (1996)

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)

in 2011 IEEE Statistical Signal Processing Workshop (SSP) (SSP'11)

(with D. Friedrich, X. Aubert, A. Brauers)

Conf. Proc. IEEE Eng. Med. Biol. 1:4048-51 (2010)

(with L. Demaret, F. Friedrich)

Chapter 7 in M. Barni (ed.): Document and Image Compression. (CRC Press, 2006)

(with L. Demaret, F. Friedrich, T. Szygowski)

Proceedings of the SPIE 5914, 59140X (2005).

Institute of Physics Conference Series 173, 867–874 (2003)

(with O.Treiber, F. Wanninger)

Bildverarbeitung für die Medizin, 96–100 (2003)

Wavelets and their applications (Chennai), 141–150 (2003)

(with W.-L. Hwang, B. Torrésani)

Proceedings of the SPIE 4119, 93–107 (2000)

Lecture notes in mathematics 1863 (Springer Verlag, 2005)

More details here