PD Peter Massopust, Ph.D.

Privatdozent
Technische Universität München
Zentrum Mathematik - M6
Boltzmannstraße 3
85747 Garching

Room: 03.04.039
Phone: +49-89-289-16811
eMail: massopustma.tum.de
Homepage

Research Interests

• Abstract and Applied Harmonic Analysis
• Wavelets and Frames
• Approximation and Interpolation Theory
• Fractal Analysis and Fractal Geometry
• Biomathematics

Organization of Conferences and Workshops

• SampTA 2013 , July 1 - 5, 2013 at the Jacobs University, Bremen, Germany.
• Summer School on New Trends and Directions in Harmonic Analysis, Fractional Operator Theory and Image Analysis, Sept. 17 - 22, 2012 in Inzell, Germany.

Publications (last five years)

Text books

• P. Massopust, Interpolation and Approximation with Splines and Fractals , Oxford University Press, 336 pp., Jan. 2010.
• B. Forster and P. Massopust, Eds., Contributors: O. Christensen, K. Gröchenig, D. Labate, P. Vandergheynst, G. Weiss, Y. Wiaux, Four Short Courses in Harmonic Analysis , Applied and Numerical Harmonic Analysis (ANHA), Birkhäuser Verlag , approx. 250 pp., Nov. 2009.

Edited books

• D. Larson, P. Massopust, M. Nguyen, M. Papadakis, Z. Nashed, and A. Zayed, eds., Frames and Operator Theory in Analysis and Signal Processing, Contemporary Mathematics, AMS Book Series, Vol. 451, 291 pp., 2008.
• E. Grinberg, D. Larson, P. Massopust, P.E.T. Jorgensen, G. Olafsson, E.T. Quinto, and B. Rubin, eds., Radon Transforms, Geometry, and Wavelets, Contemporary Mathematics, AMS Book Series, 2008.

Journal Articles

• O. Christensen, B. Forster and P. Massopust, Short Communication: Tight wavelet frames generated by B-splines of fractional order, submitted.
• P. Massopust, Derivations of complex order, submitted.
• B. Forster, P. Massopust and T. Übelacker, Periodic splines of complex order, to appear in Numerical Functional Analysis and Optimization.
• O. Christensen and P. Massopust, Exponential B-splines and the partition of unity property, to appear in Advances in Computational Mathematics.
• P. Massopust, Moments of Complex B-Splines, Commun. Math. Anal., Vol. 12, Number 2 (2012), 58 - 70.
• B. Forster and P. Massopust, Short Communication: Multivariate Interpolation with Fundamental Splines of Fractional Order, Proc. Appl. Math. Mech. Vol. 11 (2011), 857 - 858.
• B. Forster and P. Massopust, Splines of Complex order: Fourier, Filters, and Fractional Derivatives, Sampling Theory in Signal and Image Processing, Vol. 10, No. 1-2 (2011), 89 - 109.
• B. Forster and P. Massopust, Interpolation with fundamental splines of fractional order, Proceedings of SampTA 2011.
• S. Held, M. Storath, P. Massopust, and B. Forster, Steerable wavelet frames based on the Riesz transform,  IEEE Transactions on Image Processing, Volume 19, Issue 3 (2010), 653 - 667.
• D. Larson, P. Massopust, and G. Olafsson, Three-way Tiling Sets in Two Dimensions, Acta Applicandae Mathematicae, 108 (2010), 529 - 546.
• P. Massopust and B. Forster, Multivariate Complex B-splines and Dirichlet Averages, J. Approx. Theory 162 (2010), 252 - 269.
• B. Forster and P. Massopust, Statistical Encounters with Complex B-Splines, Constr. Approx. 29 (2009), 325 - 344.
• P. Massopust, Double Dirichlet Averages and Complex B-Splines, Proceedings of Sampta 2009.
• B. Forster and P. Massopust, Multivariate Complex B-Splines, Dirichlet Averages and Difference Operators, Proceedings of Sampta 2009.
• B. Forster, P. Massopust, Some Remarks about the Connection between Fractional Divided Differences, Fractional B- Splines, and the Hermite-Genocchi Formula, International Journal of Wavelets, Multiresolution and Information Processing, Vol. 6, No. 2 (2008), 279 - 290
• P. Massopust, P., D. Larson, Coxeter Groups and Wavelet Sets, Contemporary Mathematics, Vol. 451, 187 - 218, 2008
• D. Forster, P. Massopust, Multivariate Complex B-Splines, Proceedings of SPIE, Wavelets XII, Vol. 6701, 670109-1 – 670109-9, 2007
• P. Massopust, Multiwavelets: Some Approximation-Theoretic Properties, Sampling on the Interval, and Translation Invariance, Harmonic Analysis and p-Adic analysis, Eds. N. M. Chuong et al., World Scientific Publishing Co., 37 - 57, 2007
• P. Massopust, A Class of Solutions to Maxwell's Equations in Matter and Associated Special Functions, Advances in Deterministic and Stochastic Analysis, Eds. N. M. Chuong et al., World Scientific Publishing Co., 131 - 175, 2007
• P. Massopust, Inverse problems in pipeline engineering, in The Radon Transform, Inverse Problems, and Tomography, ( G. Ólafsson, E. T. Quinto, eds.), AMS Proceedings on Symposia in Applied Mathematics 63, 93 – 128, Providence, Rhode Island, 2006.
• P. Massopust, Fractal functions, splines, and Besov and Triebel-Lizorkin spaces, in Fractals in Engineering: New trends and applications (J. Lévy-Véhel , E. Lutton, eds.), 21 – 32, Springer Verlag, London, 2005.

Teaching

Summer Term 2012

• Liesche Gruppen und Algebren

Past Terms

• Splines (Summer Term 2011)
• Hauptseminar: Mathematische Methoden der Bildverarbeitung - Inverse Probleme (Summer Term 2011)
• Fraktale Geometrie (Winter Term 2010/2011)
• Differentialformen (Winter Term 2007/2008, Summer Term 2010, Winter Term 2011/2012)
• Funktionentheorie II (Winter Term 2009/2010)
• Hauptseminar: Funktionenräume (Winter Term 2009/2010)
• Meromorphe Funktionen und Riemannsche Flächen (Summer Term 2009)
• Proseminar: Ein polynomialer Zugang zur Linearen Algebra (Winter Term 2008/2009)
• Topologie (Summer Term 2008)
• Interpolation und Approximation mit Splines und Fraktalen (Summer Term 2007)
• Proseminar: Funktionentheorie in der Ebene und im Raum (Summer Term 2007)
• Hauptseminar: Bildanalyse (Winter Term 2006/2007)

Curriculum Vitae

• Curriculum Vitae of Peter Massopust