FB 12 Mathematical Sciences Mathematical Sciences Philipps Uni Marburg

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Books

[B·1] Sampling Theory: A Renaissance - Compressive Sensing and Other Developments ,
Götz E. Pfander (editor),
to appear in the Birkhäuser book series Applied and Numerical Harmonic Analysis, July 2015.

Preprints

[U·5] Boundedness of multilinear pseudo-differential operators on modulation spaces ,
Shahla Molahajloo, Kasso Okoudjou,, Götz E. Pfander,
submitted.
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[U·4] Analyzing the algorithm for proving the restricted invertibility theorem,
Peter G. Casazza, Götz E. Pfander,
submitted.
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[U·3] Cornerstones of Sampling of Operator Theory,
David Walnut, Götz E. Pfander, Thomas Kailath
invited paper, Excursions of Harmonic Analysis IV,R. Balan, M. Begue, J.J. Benedetto, W. Czaja, K. Okoudjou, (eds), Birkäuser Basel .
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[U·2] Sampling and reconstruction of operators,
Götz E. Pfander, David Walnut,
submitted.
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[U·1] On the stability of sparse convolutions ,
Philipp Walk, Peter Jung, Götz E. Pfander,
submitted.
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Journal Publications

[J·30] Time-frequency shift invariance and the Amalgam Balian Low Theorem ,
Carlos Cabrelli, Ursula Molter, Götz E. Pfander,
to appear in Applied and Computational Harmonic Analysis.
Preprint link.
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[J·29] Estimation of overspread scattering functions ,
Götz E. Pfander, Pavel Zheltov,
IEEE Transactions on Signal Processing, 63 (10), 2451-2463, 2015.
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[J·28] Reconstruction of the scattering function of overspread radar targets,
Onur Oktay, Götz E. Pfander, Pavel Zheltov,
IET Signal Processing, 8 (9), 1018-1024, 2014.
Preprint link.
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[J·27] Local sampling and approximation of operators with bandlimited Kohn-Nirenberg symbol,,
Felix Krahmer, Götz E. Pfander,
Constructive Approximation, 39 (3), 541 - 572, 2014.
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[J·26] Sampling of stochastic operators,,
Götz E. Pfander, Pavel Zheltov,
IEEE Transactions on Information Theory, 60 (4), 2359 - 2372, 2014.
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[J·25] Identification of stochastic operators,
Götz E. Pfander, Pavel Zheltov,
Applied and Computational Harmonic Analysis, 36 (2), 256 - 279, 2014.
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[J·24] Remarks on multivariate Gaussian Gabor frames ,
Götz E. Pfander, Peter Rashkov,
Monatshefte für Mathematik, 172 (2), 179-187, 2013.
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[J·23] A density criterion for operator identification,
Niklas Grip, Götz E. Pfander, Peter Rashkov,
Sampling Theory in Signal and Image Processing, 12 (1), 1-20, 2013.
Preprint link.
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[J·22] The restricted isometry property for time-frequency structured random matrices ,
Götz E. Pfander, Holger Rauhut, Joel Tropp,
Probability Theory and Related Fields, 156, (3-4), 707-737, 2013.
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[J·21] Sampling of Operators ,
Götz E. Pfander,
Journal of Fourier Analysis and Applications, 19 (3), 612-650, 2013.
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[J·20] Boundedness of pseudo-differential operators on L^p, Sobolev, and modulation spaces ,
Shahla Molahajloo, Götz E. Pfander,
Mathematical Modelling of Natural Phenomena 8 (1), 175-192, 2013.
Preprint link.
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[J·19] Infinite dimensional restricted invertibility,
Peter G. Casazza, Götz E. Pfander,
Journal of Functional Analysis 263 (12), 3784-3803, 2012.
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[J·18] A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows ,
Götz E. Pfander, Peter Rashkov, Yang Wang
Journal of Fourier Analysis and Applications 18(2), 223-239, 2012.
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[J·17] Irregular and multi-channel sampling of operators,
Yoon Mi Hong, Götz E. Pfander,
Applied and Computational Harmonic Analysis (ACHA), 29 (2) 214-231, 2010.
Preprint link.
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[J·16] Sparsity in time-frequency representations ,
Götz E. Pfander, Holger Rauhut,
Journal of Fourier Analysis and Applications, 11(6), pp. 715-726, 2010.
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[J·15] On the invertibility of rectangular bi-infinite matrices and applications in time-frequency analysis,
Götz E. Pfander,
Linear Algebra and Applications, 429 (1), 331-345, 2008.
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[J·14] Identification of matrices having a sparse representation,
Götz E. Pfander, Holger Rauhut, Jared Tanner,
IEEE Transactions on Signal Processing, 56 (11), 5376-5388, 2008.
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[J·13] Uncertainty in time--frequency representations on finite Abelian groups,
Felix Krahmer, Götz E. Pfander, Peter Rashkov,
Applied and Computational Harmonic Analysis (ACHA), 25 (2) 209-225, 2008.
Preprint link.
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[J·12] Measurement of time-varying multiple-input multiple-output channels,
Götz E. Pfander,
Applied and Computational Harmonic Analysis (ACHA), 24 (3) 393-401, 2008.
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[J·11] A discrete model for the effcient analysis of time-varying narrowband communication Channels,
Niklas Grip, Götz E. Pfander,
Multidimensional Systems and Signal Processing, 19 (1), pp. 3-40, 2008.
Preprint link.
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[J·10] Note on sparsity in signal recovery and in matrix identification ,
Götz E. Pfander
The Open Applied Mathematics Journal, 1, pp. 21-22, 2007.
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[J·9] Measurement of time variant linear channels,
Götz E. Pfander, David Walnut,
IEEE Transactions on Information Theory, 52 (11), pp. 4808-4820, 2006.
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[J·8] Operator identification and Feichtinger's algebra,
Götz E. Pfander, David Walnut,
Sampling Theory in Signal and Image Processing (STSIP), 5 (2), pp. 183-200, 2006.
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[J·7] Frame expansions for Gabor multipliers,
John Benedetto, Götz E. Pfander,
Applied and Computational Harmonic Analysis (ACHA), 20 (1), pp. 26-40, 2006.
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[J·6] Identification of operators with bandlimited symbols,
Werner Kozek, Götz E. Pfander,
SIAM Journal of Mathematical Analysis, 37 (3), pp. 867-888, 2006.
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[J·5] Linear independence of Gabor systems in finite dimensional vector spaces,
James Lawrence, Götz E. Pfander, David Walnut,
Journal of Fourier Analysis and Applications, 11(6), pp. 715-726, 2005.
Preprint link.
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[J·4] Note on B-splines, wavelet scaling functions, and Gabor frames ,
Karlheinz Gröchenig, Augustus J. E. M. Janssen, Norbert Kaiblinger, Götz E. Pfander,
IEEE Transactions Information Theory, Volume 49, pp. 3318 - 3320, 2003.
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[J·3] Perturbation stability of coherent Riesz systems under convolution operators ,
Werner Kozek, Götz E. Pfander, Georg Zimmermann,
Applied and Computational Harmonic Analysis, 12 (3), pp. 286-308, 2002.
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[J·2] Periodic wavelet transforms and periodicity detection ,
John Benedetto, Götz E. Pfander
SIAM Journal on Applied Mathematics, 62 (4), pp. 1329-1368, 2002.
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[J·1] The crest factor of trigonometric polynomials. Part 1: Approximation theoretic results ,
Kurt Jetter, Götz E. Pfander, Georg Zimmermann,
Revue d'Analyse Numérique et de Théorie de l'Approximation, 30 (2), pp. 179-195, 2001.
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Invited Chapters

[C·3] Gabor frames in finite dimensions ,
Götz E. Pfander,
Finite Frames: Theory and Applications, Peter G. Casazza and Gitta Kutyniok (editors), Birkhäser Boston, 2013.
Preprint link.
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[C·2] Efficient Analysis of OFDM Channels ,
Niklas Grip, Götz E. Pfander
in OFDM - Concepts for Future Communication Systems, Hermann Rohling (editor), Springer, 2011.
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[C·1] Exploring infinity: number sequences in modern art,,
Götz E. Pfander, Isabel Wuensche,
Arkhai, 12, pp. 41-66, April 2007.
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Refereed Conference Proceedings

[P·16] Regular operator sampling for parallelograms,
Götz E. Pfander, David Walnut
Proceedings International Conference on Sampling Theory and Applications, Washington DC, 2015.
Preprint link
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[P·15] An Amalgam Balian-Low Theorem for symplectic lattices of rational density,
Carlos Cabrelli, Ursula Molter, Götz E. Pfander,
Proceedings International Conference on Sampling Theory and Applications, Washington DC, 2015.
Preprint link
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[P·14] Polarization based phase retrieval for time-frequency structured measurements,
Palina, Salanevich, Götz E. Pfander,
Proceedings International Conference on Sampling Theory and Applications, Washington DC, 2015.
Preprint link
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[P·13] Sparse finite Gabor frames for operator sampling,
Götz E. Pfander, David Walnut
Proceedings International Conference on Sampling Theory and Applications, Bremen, 2013.
Preprint link
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[P·12] Density criteria in operator identification,
Niklas Grip, Götz E. Pfander, Peter Rashkov,
Proceedings Sampling Theory and Applications, 2.5. - 6.5.2011, Singapore, 2011.
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[P·11] Identification and sampling of stochastic operators,
Götz E. Pfander, Pavel Zheltov,
Proceedings Sampling Theory and Applications, 2.5. - 6.5.2011, Singapore, 2011.
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[P·10] Linear independence and coherence of Gabor systems in finite dimensional spaces,
Götz E. Pfander,
Proceedings Sampling Theory and Applications, 18.5. - 22.5.2009, Marseille, 2009.
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[P·9] Operator identification and sampling,
Götz E. Pfander, David Walnut,
Proceedings Sampling Theory and Applications, 18.5. - 22.5.2009, Marseille, 2009.
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[P·8] Irregular and multichannel sampling in operator Paley- Wiener spaces,
Yoon Mi Hong, Götz E. Pfander,
Proceedings Sampling Theory and Applications, 18.5. - 22.5.2009, Marseille, 2009.
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[P·7] On the sampling of functions and operators with an application to Multiple--Input Multiple--Output channel identification ,
Götz E. Pfander, David F. Walnut
Proceedings SPIE Vol. 6701, Wavelets XII; Dimitri Van De Ville, Vivek K. Goyal, Manos Papadakis, Eds, pp. 67010T-1 - 67010T-14, 2007.
Preprint link.
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[P·6] ISI / ICI comparison of DMT and wavelet based MCM schemes for time invariant channels ,
Maria Charina, Kurt Jetter, Achim Kehrein, Werner Kozek, Götz E. Pfander, Georg Zimmermann,
in: J.Speidel (ed.), Neue Kommunikationsanwendungen in modernen Netzen ITG-Fachbericht, Vol. 171, VDE-Verlag, Berlin, pp. 109-115, 2002.
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[P·5] A comparitive study of various MCM schemes ,
W. Kozek, Götz E. Pfander, J. Ungermann and G. Zimmermann,
Proceedings 5th International OFDM-Workshop 2000, Hamburg, Technische Universität Hamburg-Harburg, pp. 20.1-20.4, Hamburg 2000.
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[P·4] Generalized Haar wavelets and frames ,
Götz E. Pfander,
Proceedings SPIE Vol. 4119, pp. 528-535, Wavelet Applications in Signal and Image Processing VIII; Akram Aldroubi, Andrew F. Laine, Michael A. Unser; Eds, 2000.
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[P·3] Perturbation stability of various coherent Riesz families ,
Werner Kozek, Götz E. Pfander, Georg Zimmermann,
Proceedings SPIE Vol. 4119, pp. 411-419, Wavelet Applications in Signal and Image Processing VIII; Akram Aldroubi, Andrew F. Laine, Michael A. Unser; Eds., 2000.
Preprint link.
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[P·2] Wavelet periodicity detection algorithms ,
John J. Benedetto, Götz E. Pfander
Proceedings of SPIE's 43rd Annual Meeting, San Diego, Vol. 3458, pp. 48-55, 1998.
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[P·1] Wavelet detection of periodic behavior in EEG and ECoG Data ,
John J. Benedetto, Götz E. Pfander,
Proceedings of the 15th IMACS World Congress, Berlin, Volume 1, pp. 75-80, 1997.
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Technical Reports and Miscellaneous

[T·11] SIC-POVMs vs WSSUS: Quantum Information Theory meets Channel Estimation ,
Götz E. Pfander, Pavel Zheltov ,
Mini-Workshop: Mathematical Physics meets Sparse Recovery, 17-21, 2014.
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[T·10] The Bourgain Tzafriri restricted invertibility theorem in infinite dimensions ,
Peter G. Casazza, Götz E. Pfander,
Operator Algebras and Representation Theory: Frames, Wavelets and Fractals, Oberwolfach Reports 17/2011, 957-960, 2011. 17-21, 2014.
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[T·9] Identi cation of time-frequency localized operators ,
Niklas Grip, Götz E. Pfander, Peter Rashkov,
Technical Report 22, Jacobs University Bremen, 75 pages, 2010.
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[T·8] Window design for multivariate Gabor frames on lattices ,
Götz E. Pfander, Peter Rashkov,
Technical Report 21, Jacobs University Bremen, 46 pages, 2010.
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[T·7] Applications of the uncertainty principle for finite abelian groups to communications engineering,
Felix Krahmer, Götz E. Pfander, Peter Rashkov,
Proceedings of the Humboldt-Kolleg Modern trends in mathematics and physics, Sept 2008, Varna/Bulgaria, Suppl. to Bulgarian Journal of Physics, 36(2), 54-59, 2009.
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[T·6] An open question on the existence of Gabor frames in general linear position,
Felix Krahmer, Götz E. Pfander, Peter Rashkov,
Proceedings Dagstuhl Seminar 08492, 30.11. - 05.12.2008, Structured Decompositions and Efficient Algorithms, 2009.
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[T·5] Support size restrictions on time-frequency representations of functions on finite Abelian groups,
Felix Krahmer, Götz E. Pfander, Peter Rashkov\\ Proceedings of the 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2008.
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[T·4] Time varying narrowband communications channels: analysis and implementation ,
Niklas Grip, Götz E. Pfander,
Technical Report 12, Jacobs University Bremen, 125 pages, 2007.
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[T·3] Support size conditions for time-frequency representations on finite Abelian groups ,
Felix Krahmer, Götz E. Pfander, Peter Rashkov,
Technical Report 13, Jacobs University Bremen, 42 pages, 2007.
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[T·2] Signal processing for vibration detection in jet engines,
John Benedetto, Alfredo Nava-Tudela, Götz E. Pfander,
unpublished (2002).
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[T·1] Periodic waveletgrams and periodicity detection,
Götz E. Pfander,
PhD Thesis, University of Maryland, College Park, August 1999.
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