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PD Peter Massopust, Ph.D.

Massopust.png Privatdozent
Technische Universität München
Zentrum Mathematik - M15
Boltzmannstraße 3
85748 Garching

Room: 02.10.038
Phone: +49-89-289-17488
eMail: massopustematma.tum.de

News

Research Interests

Recently Organized Conferences and Workshops

Recent Publications (last ten years)

Monographs

Text books

Edited books

Special Issues Edited

Journal Articles

  1. M. Barnsley, M. Hegland, and P. Massopust, Self-referential Functions, submitted 2016.
  2. P. Massopust, Local Fractal Interpolation on Unbounded Domains, to appear in Proceedings of the Edinburgh Mathematics Society.
  3. J. Hogan and P. Massopust, Quaternionic B-Splines, J. Approx. Th. 224 (2017), 43 - 65.
  4. P. Massopust and P. Van Fleet, Fractional Cone and Hex Splines, Rocky Mountain Journal of Mathematics 47(5) (2017), 1655 - 1691.
  5. P. Massopust, B. Forster and O. Christensen, Fractional and Complex Pseudo-Splines and the Construction of Parseval Frames, Applied Mathematics and Computation 314 (2017), 12 - 24.
  6. A. Schindele, B. Forster, and P. Massopust, Multigrid Convergence for the MDCA-Curvature Estimator, Journal of Mathematical Imaging and Vision, Volume 57, Issue 3, (2017), 423 - 438.
  7. M. Storath, L. Demaret, and P. Massopust, Signal Analysis Based on Complex Wavelet Signs, Appl. Comput. Harmon. Anal. 42 (2017), no. 2, 199 – 223.
  8. K. Hahn, P. Massopust and S. Prigarin, A new method to measure complexity in binary or weighted networks and applications to functional connectivity in the human brain, BMC Bioinformatics (2016), 17 - 87.
  9. P. Massopust, Local Fractal Functions in Besov and Triebel-Lizorkin Spaces, J. Math. Anal. Appl. 436 (2016), 393 - 407.
  10. P. Massopust and Ahmed I. Zayed, On the Invalidity of Fourier Series Expansions of Fractional Order, Fract. Calc. Appl. Anal., Vol. 18, No 6 (2015), 1507 - 1517.
  11. P. Massopust, Fractal Hypersurfaces, Wavelet Sets, and Affine Weyl Groups, Lecture Notes for Invited Presentations at the International Conference on Fractals, Wavelets and their Applications, Kerala, India, 2013.
  12. O. Christensen, B. Forster, and P. Massopust, Directional time frequency analysis via continuous frames, Bull. Aust.Math. Soc. 92 (2015), 268 - 281.
  13. P. Massopust, On local fractal functions in Banach spaces, AIP Conf. Proc. 1684 (2015), 64002-01 - 64002-04.
  14. M. F. Barnsley and P. Massopust, Bilinear Fractal Interpolation and Box Dimension, Journal of Approximation Theory, 192 (2015), 363 - 378.
  15. P. Massopust, Fractional Operators, Dirichlet Averages, and Splines, Applied and Numerical Harmonic Analysis: New Perspectives on Approximation and Sampling Theory (Festschrift in Honor of Paul Butzer's 85th Birthday) (2014), 399 - 422.
  16. P. Massopust, Exponential Splines of Complex Order, Contemporary Mathematics, Vol. 626 (2014), 87 - 106.
  17. P. Massopust, Local Fractal Functions and Function Spaces, Springer Proceedings in Mathematics & Statistics: Fractals, Wavelets, and their Applications, Vol. 92(2014), 245 - 270.
  18. M. F. Barnsley, M. Hegland, P. Massopust, Numerics and Fractals, Bulletin of the Institute of Mathematics, Academica Sinica (N.S.), Vol. 9(3)(2014), 389 - 430.
  19. M. Storath, L. Demaret and P. Massopust, Wavelet Signs: A New Tool for Signal Analysis, Proceedings of the 10th International Conference on Sampling Theory and Applications, EUROSIP, (2013), 45 - 48.
  20. B. Forster, R. Garunkstis, P. Massopust, and J. Steuding, Complex B-Splines and Hurwitz Zeta Functions, London Math. Soc. Journal of Computation and Mathematics 16(2013), 61 - 77.
  21. O. Christensen and P. Massopust, Exponential B-splines and the partition of unity property, Advances in Computational Mathematics 37(3)(2012), 301 - 318.
  22. P. Massopust, Splines of Complex Order: An Introduction, AIP Conference Proceedings, Vol. 1479 (2012), 991 - 994.
  23. B. Forster, P. Massopust and T. Übelacker, Periodic splines of complex order, Numerical Functional Analysis and Optimization, 33 (7 - 9)(2012), 989 - 1004.
  24. P. Massopust, Moments of Complex B-Splines, Commun. Math. Anal., Vol. 12, Number 2 (2012), 58 - 70.
  25. B. Forster and P. Massopust, Short Communication: Multivariate Interpolation with Fundamental Splines of Fractional Order, Proc. Appl. Math. Mech. Vol. 11 (2011), 857 - 858.
  26. 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.
  27. B. Forster and P. Massopust, Interpolation with fundamental splines of fractional order, Proceedings of SampTA 2011.
  28. 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.
  29. D. Larson, P. Massopust, and G. Olafsson, Three-way Tiling Sets in Two Dimensions, Acta Applicandae Mathematicae, 108 (2010), 529 - 546.
  30. P. Massopust and B. Forster, Multivariate Complex B-splines and Dirichlet Averages, J. Approx. Theory 162 (2010), 252 - 269.
  31. B. Forster and P. Massopust, Mathematical Aspects of Time Frequency Analysis, in: Four Short Courses in Harmonic Analysis, Applied and Numerical Harmonic Analysis (ANHA), Birkhäuser Verlag (2009), 1 - 49.
  32. B. Forster and P. Massopust, Statistical Encounters with Complex B-Splines, Constr. Approx. 29 (2009), 325 - 344.
  33. P. Massopust, Double Dirichlet Averages and Complex B-Splines, Proceedings of Sampta 2009.
  34. B. Forster and P. Massopust, Multivariate Complex B-Splines, Dirichlet Averages and Difference Operators, Proceedings of Sampta 2009.
  35. 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
  36. P. Massopust, P., D. Larson, Coxeter Groups and Wavelet Sets, Contemporary Mathematics, Vol. 451, 187 - 218, 2008
  37. B. Forster, P. Massopust, Multivariate Complex B-Splines, Proceedings of SPIE, Wavelets XII, Vol. 6701, 670109-1 – 670109-9, 2007
  38. 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
  39. 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

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Winter Term 2017/2018

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