Publications

Grohs P. Bandlimited Shearlet-Type Frames with Nice Duals. Journal of Computational and Applied Mathematics. 2013;243:139-151. doi: https://doi.org/10.1016/j.cam.2012.10.030

Grohs P. Geometric Multiscale Decomposition of Dynamic Low-Rank Matrices. Computer-Aided Geometric Design. 2013;30:805-826. doi: 10.1016/j.cagd.2013.07.002

Grohs P. Intrinsic Localization of Anisotropic Frames. Applied and Computational Harmonic Analysis. 2013;35:264-283. doi: https://doi.org/10.1016/j.acha.2012.09.003

Grohs P. Quasiinterpolation for Riemannian Data. IMA Journal of Numerical Analysis. 2013;33:849-874. doi: 10.1093/imanum/drs026

Grohs P. Refinable Functions for Dilation Families. Advances in Computational Mathematics. 2013;38:531-561. doi: https://doi.org/10.1007/s10444-011-9248-6

Grohs P, Wallner J. Definability and Stability of Multiscale Decompositions for Manifold-Valued Data. Journal of the Franklin Institute: Engineering and Applied Mathematics. 2012;349(5):1648-1664. doi: 10.1016/j.jfranklin.2011.02.010

Grohs P. On the Structure of Anisotropic Frames. Oberwolfach Reports. 2012;29. doi: 10.4171/OWR/2012/29

Grohs P. Ridgelet-Type Frame Decompositions for Sobolev Spaces related to Linear Transport. Journal of Fourier Analysis and Applications. 2012;18:309-325. doi: https://doi.org/10.1007/s00041-011-9206-1

Skopenkov M, Pottmann H, Grohs P. Ruled Laguerre Minimal Surfaces. Mathematische Zeitschrift. 2012;272(1):646-674. doi: https://doi.org/10.1007/s00209-011-0953-0

Grohs P. Shearlets and Microlocal Analysis. In Shearlets: Multiscale Analysis for Multivariate Data. Birkhäuser. 2012

Grohs P. Tree Approximation with Anisotropic Decompositions. Applied and Computational Harmonic Analysis. 2012;33:44-57. doi: https://doi.org/10.1016/j.acha.2011.09.004

Grohs P. Continuous Shearlet Frames and Resolution of the Wavefront Set. Monatshefte für Mathematik. 2011;164(4):393-426. doi: https://doi.org/10.1007/s00605-010-0264-2

Grohs P. Continuous Shearlet Tight Frames. Journal of Fourier Analysis and Applications. 2011;17(3):506-518. doi: https://doi.org/10.1007/s00041-010-9149-y

Grohs P. Tree approximation and optimal image coding with shearlets. 2011. Paper presented at The 9th International Conference on Sampling Theory and Applications, Singapore.

Grohs P. A General Proximity Analysis of Nonlinear Subdivision Schemes. SIAM Journal on Mathematical Analysis. 2010;42:729-750. doi: https://doi.org/10.1137/09075963X

Grohs P. Approximation Order from Stability of Nonlinear Subdivision Schemes. Journal of Approximation Theory. 2010;162:1085-1094. doi: https://doi.org/10.1016/j.jat.2009.12.003

Grohs P, Dyn N, Wallner J. Approximation Order of Interpolatory Nonlinear Subdivision Schemes. Journal of Computational and Applied Mathematics. 2010;233(7):1697-1703. doi: https://doi.org/10.1016/j.cam.2009.02.017

Grohs P, Pottmann H, Blaschitz B. Edge Offset Meshes in Laguerre Geometry. Advances in Computational Mathematics. 2010;33:45-73. doi: https://doi.org/10.1007/s10444-009-9119-6

Grohs P. Interpolating Composite Systems. 2010. Paper presented at 13th International Conference on Approximation Theory, San Antonio, United States. doi: 10.1007/978-1-4614-0772-0_8

Grohs P. Stability of Manifold-Valued Subdivision Schemes and Multiscale Transformations. Constructive Approximation: an international journal for approximations and expansions. 2010;32:569-596. doi: https://doi.org/10.1007/s00365-010-9085-8