Selected Publications

• Aldroubi, A. , Cabrelli, C. , Molter, U. " Wavelets on Irregular Grids with Arbitrary Dilation Matrices, and Frame Atoms for L2(Rd)". Applied and Computational Harmonic Analysis. Special Issue on Frames II. 119-140 (2004). pdf-file.
• Cabrelli, C., Molter, U. and Romero, J. L.``Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces''.Advances in Mathematics . Vol. 232, Issue 1, Jan. 2013, pg. 98-120.pdf-file.
• Aldroubi, A. , Cabrelli, C. , Molter, U. and Tang, S. ``Dynamical Sampling". Applied and Computational Harmonic Analysis. 42. (3) (2017) 378?401. pdf-file.
• Aldroubi, A., Cabrelli, C., Cakmak, A. F., Molter, U. and Petrosyan, A. ``Iterative Actions of Normal Operators”. Journal of Functional Analysis, 272 (3) (2017) 1121-1146. (2016). pdf-file.
• Belogay, E. , Cabrelli, C. , Molter, U. and Shonkwiler, R. ``Computing the Hausdorff Distance between curves”. Information Processing Letters, 64 (1): 17–22, 1997. pdf-file.
• Cabrelli, C. A. Heil, C. and Molter, U. M. "Accuracy of Lattice Translates of Several Multidimensionanl Refinable Functions". Journal of Approximation Theory. 95 5 - 52 (1998). pdf-file.
• Cabrelli, C. A. Heil, C. and Molter, U. M. "Self-Similarity and Multiwavelets in Higher Dimensions". Memoirs of the AMS. 170 (807) 82p. 2004. gzipped-pdf-file.
• Molter U. , Rela E. ``Improving dimension estimates for Furstenberg-type sets.'' Advances in Mathematics 223 (2010) pp. 672-688. pdf-file.
• Molter U. , Rela E. ``Furstenberg sets for a fractal set of directions'' Proceedings of the American Mathematical Society. To appear 2011. pdf-file.
• Cabrelli, C. , Mendevil, F. , Molter, U., Shonkwiler, R. " On the Hausdorff h-Measure of Cantor Sets". Pacific Journal of Mathematics. 217(1)45-59. (2004) pdf-file.
• Cabrelli, C. , Hare, K. , Molter, U. ``Classifying Cantor sets by their fractal dimensions''. Proceedings of the American Mathematical Society, 138 (11) (2010) pp. 3965-3974. pdf-file.
• Aldroubi A. , Cabrelli C. , Heil C. , Kornelson K, Molter U. ``Invariance of a Shift-Invariant Space.'' Journal of Fourier Analysis and Applications. Vol 16, No 1, pp 60-75, 2010. pdf-file.
• Molter, U. Zuberman, L. ``A fractal Plancherel Theorem.'' Real Analysis Exchange. 14,(34) 69-86, 2008/2009. pdf-file.
• Aldroubi, A. , Cabrelli, C. , Hardin, D. and Molter, U.M. "Optimal shift invariant spaces and their Parseval frame generators". Applied and Computational Harmonic Analysis, 23 (2) (2007). pdf-file.
• Aldroubi, A. , Cabrelli, C. , Molter, U.M. ``Optimal Non-Linear Models for Sparsity and Sampling.'' Journal of Fourier Analysis and Applications. 14,(5) 793-812, 2008. pdf-file.
• Barbieri, D., Cabrelli, C. , Hernández, E. and Molter, U. ``Approximation by group invariant subspaces" Journal de Mathématiques Pures et Appliqéees 142, 76 – 100, (2020).pdf-file.
• García, I. , Molter, U.M. , Scotto, R. "Dimension Functions of Cantor sets". Proceedings of the American Mathematical Society, 135 (10) (2007) . pdf-file.
• Cabrelli, C. , Molter, U.M. ``Density of the Set of Generators of Wavelets Systems'', Constructive Approximation, 26 (1) (2007). pdf-file.

Invited Book Chapters

• Cabrelli, C., Molter, U. and Suárez, D.``Frames of iterations and vector-valued model spaces". In Sampling, Approximation, and Signal Analysis (Harmonic Analysis in the Spirit of J. Rowland Higgins), (2024) 329 – 349. pdf-file.
• Díaz Martín, R., Medri, I. and Molter, U.``Dynamical Sampling: a view from control theory". In Excursions in Harmonic Analysis, Vol. 6 (2021) 269 – 295. pdf-file.
• Barbieri, D., Cabrelli, C. , Hernández, E. and Molter, U. ``Optimal translational-rotational invariant dictionaries for images". In Proceedings of SPIEE 2019. (2019) pdf-file.
• Cabrelli C., Darji, U., Molter, U.``Visible and Invisible Cantor sets''. Invited chapter in Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. Editors: Travis Andrews, Radu Balan, Wojciech Czaja, Kasso Okoudjou, John Benedetto.pdf-file.
• Aldroubi, A., Cabrelli, C. A and Molter, U. M. "Learning the Right Model from the Data". Invited Chapter in Harmonic Analysis and Applications. In Honor of John J. Benedetto. C. Heil, ed., Birkhäuser, Boston, (2006): 325 -- 334. pdf-file.
• Aldroubi, A., Cabrelli, C. A and Molter, U. M. "How to construct Wavelet Frames on irregular grids and arbitrary dilations in Rn". Invited Chapter in Wavelets, Frames and Operator Theory. C.Heil, P. Joergensen, D. Larson eds. Contemporary Mathematics. ( 345) 1 -- 9, 2004. pdf-file.