Selected Publications

• 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.
• Molter U. , Rela E. ``Furstenberg sets for a fractal set of directions'' Proceedings of the American Mathematical Society. To appear 2011. pdf-file.
• Aldroubi, A., Anastasio, M., Cabrelli, C., Molter, U., ``A dimension reduction scheme for the computation of optimal unions of subspaces.'' Sampling Theory in Signal and Image Processing., 10 (1-2) (2011) pp. 135 - 150. 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.
• Molter U. , Rela E. ``Sharp dimension bounds for Furstenberg-type sets.'' Preprint. pdf-file.
• Molter U. , Rela E. ``Improving dimension estimates for Furstenberg-type sets.'' Advances in Mathematics 223 (2010) pp. 672-688. 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.
• Feichtinger, H. G. , Molter, U. , Romero, J. L. ``Perturbation techniques in spline-type spaces.'' International Journal of Wavelets, Multiresolution and Information Processing. Special Issue on Multiscale Methods, Sparse Decompositions and Parsimonious Statistics. 2,(6) 249-277, 2008. 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.
• García, I. , Molter, U.M. , Scotto, R. "Dimension Functions of Cantor sets". Proceedings of the American Mathematical Society, 135 (10) (2007) . 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.
• Cabrelli, C. , Molter, U.M. ``Density of the Set of Generators of Wavelets Systems'', Constructive Approximation, 26 (1) (2007). pdf-file.  
• Cabrelli, C., Lacey, M., Molter, U.M. and Pipher, J. "Variations on the Theme of Journe's Lemma". Houston Journal of Mathematics, Electronic Edition. 32 (3) (2006) 833--861.
• Cabrelli, C. , Heineken, S. , Molter, U. M. "Local Bases for Refinable Spaces". Proceedings of the AMS. 134 (2006) 1707-1718. pdf-file.
• Cabrelli, C. , Molter, U.M. ``Geometric Methods in Wavelet Theory'', Revista de la UMA , 46 (2) (2005), 121-132.   pdf-file.
• Cabrelli, C. , Heineken, S. , Molter, U. M. "Refinable Shift Invariant Spaces in Rn". International Journal of Wavelets, Multiresolution and Information Processing. Special issue on "Sampling and Frames in Wavelet Theory and Time-Frequency Analysis" 3 (2005), 3, 321-345. pdf file
• 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. 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.
• 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.

Invited Book Chapters

• 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.
• Aldroubi, A., Cabrelli, C. A, Hardin, D., Molter, U. M.and Rodado, A.. "Determining sets of shift invariant spaces" Proceedings of ICWA, Chennai, India, 2004. pdf-file.
• Cabrelli, C. A., Heil, C. y Molter, U. M.."Multiwavelets in Rn with an arbitrary dilation matrix". Wavelets and Signal Processing, L. Debnath editor, Birkhäuser, Basel(2003). pdf-file.