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Títulos Académicos

Doctora en Matemática, 1983, Tesis: Medidas Tangenciales sobre Cilindros Convexos en E^n,
Entidad Otorgante: Facultad de Ciencias Exactas y Naturales, (UBA)
Director de Tesis: Prof. Luis A. Santaló

Licenciatura en Matemática, 1980,
Entidad Otorgante: Facultad de Ciencias Exactas y Naturales, (UBA)

Cargos Actuales

Profesora Titular Plenaria (Regular),
Departamento de Matemática, 
Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires
Diciembre 2015 - presente.

Investigadora Superior,
IMAS, CONICET,
Noviembre 2019 - presente.

Directora,
IMAS, CONICET,
Abril 2019 - presente.

Editora Colaboradora.
Real Analysis Exchange.
October 2009 - presente.

Editora Colaboradora.
Revista de la Unión Matemática Argentina.
Octubre 2018 - presente.

Miembro del grupo de investigación: Análisis Armónico y Geometría Fractal
Departamento de Matemática,  Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires

Premios y Distinciones

  • Beca Thalman, Universidad de Buenos Aires 2008.
  • Alβan Fellow, High Level European Union Fellowship 2005.
  • Guggenheim Fellow, 2003.
  • Fulbright Senior Research Award, 2003.

Algunas publicaciones

(Para una lista completa, descargue el archivo PDF de mi CV.)
  • Barbieri, D., Cabrelli, C., Hernández, E. y Molter, U. "Approximation by group invariant subspaces", Journal de Mathématiques Pures et Appliquées, En Prensa. (2020).
  • Cabrelli, C., Molter, U., Paternostro, V. and Philipp, F. "Dynamical Sampling on finite index sets", Journal D’Analyse Mathematique 140 (2), 637–667(2020).
  • Molter, U. and Yavicoli, A. "Small Sets containing any Pattern". Mathematical Proceedings of the Cambridge Philosophical Society 168, no.1, (2020), 57-73.
  • Molter, U. Moure, M.del C. y Quintero, A. "Approximation by crystal-refinable functions". Geometriae Dedicata, 207, 1?-21 (2020).
  • Cabrelli, C., Lee, D.-G., Molter, U. and Pfander, G. "Time-frequency shift invariance of Gabor spaces generated by integer lattices". Journal of Mathematical Analysis and Applications 474 (2) (2019), pp. 1289-1305.
  • Molter, U. and Quintero, A. "Crystallographic Multiwavelets in higher Dimensions". Proceedings of the AMS. {En prensa} (2018).
  • Barbieri, D., Cabrelli, C., Hern\'andez, E., Luthy, P. Molter, U. and Mosquera, C. "Frames of exponentials and sub-multitiles in LCA groups". Comptes rendus - Math\'ematique. \\ Versi\'on electr\'onica: http://authors.elsevier.com/sd/article/S1631073X17303229, (2017).
  • Aldroubi, Akram, Cabrelli, Carlos, \c{C}akmak, A. F., Molter, U. and Petrosyan, Armenak "Iterative Actions of Normal Operators". Journal of Functional Analysis, 272 (3) (2017) 1121-1146.
  • Aldroubi, Akram, Cabrelli, Carlos, Molter, Ursula, Tang, Sui. "Dynamical Sampling", Applied and Computational Harmonic Analysis, En Prensa. (2015).
  • Cabrelli, Carlos, Molter, Ursula, Pfander, Götz. "Time-frequency shift invariance and the Amalgan Balian-Low Theorem", Applied and Computational Harmonic Analysis, En Prensa. (2015).
  • Barrozo, María Fernanda, Molter, Ursula. “Countable contraction mappings in metric spaces: Invariant Sets and Measures”. Central European Journal of Mathematics, 12 (4) (2014) 593–602.
  • Cabrelli, C., Molter, U. and Romero, J. L."Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces". Advances in Mathematics 232 (2013), pp. 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.
  • 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. “Small Furstenberg Sets”. Journal of Mathematical Analysis and Applications 400 (2013), pp. 475–486. 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 R^n". 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.

Libros Editados

  • ”New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multi- fractal Analysis”. Applied and Numerical Harmonic Analysis 75, Aldroubi, A., Cabrelli, C., Jaffard, S. and Molter, U. eds. Springer, 2016.
  • ”New Trends in Applied Harmonic Analysis, Volume 2: Harmonic Analysis, Geometric Measure Theory, and Applications”. Applied and Numerical Harmonic Analysis 75, Aldroubi, A., Cabrelli, C., Jaffard, S. and Molter, U. eds. Springer, 2019.

Capítulos de libros por invitación

  • 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 $R^n$". 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.

Conferencias Invitadas

7/2016 “The Amalgan Balian Low Theorem and time-frequency shift invariance”, Conferencia Semiplenaria, V Congreso Latinoamericano de Matemáticos. Universidad del Norte, Barranquilla, Colombia, 15 - 19 Julio, 2016.
6/2016 “The Amalgan Balian Low Theorem and time-frequency shift invariance”, Conferencia Invitada, 10th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Madrid (Spain) June 12-17, 2016.
07/2015 “Time frequency shift invariance and the Amalgam Balian Low Theorem”, Conferencia Invitada, Sesio ́n de Ana ́lisis Armo ́nico y Ecuaciones Diferenciales, Coloquio Brazileiro de Matematica, Rio de Janeiro, 2015.
05/2014 “Accuracy, Sum Rules and Crystal Wavelets”, Keynote address. 5th International Conference on Computational Harmonic Analysis in conjunction with the 29th annual Shanks Lecture. Vanderbilt University, Nashville, USA.
07/2014 “Dynamical Sampling”, Workshop on Infinite Dimensional Analysis, Universidad Torcuato di Tella, Buenos Aires, Argentina.
06/2013 “Muestreo Dinámico”, Distancia y medida en análisis y ecuaciones diferenciales. Congreso en honor a Hugo Aimar, Santa Fé, Santa Fé, Argentina.
08/2012 Irregular Wavelets and Anisotropic Smoothness spaces: a global characterization. IV CLAM. Córdoba, Argentina. Agosto 5 – 11, 2012.
06/2011 "Irregular, anisotropic wavelets". Strobl2011 - From Abstract to Computational Harmonic Analysis. Strobl, Austria.
06/2011 "Optimal non-linear models for Sparsity and Sampling". Coloquio del Instituto de Matemática, de la Universidad de Sevilla. Sevilla, Spain.
05/2011 "Dimension Reduction in Sparsity and Sampling".International Symposium in Approximation Theory. Vanderbilt University, Nashville, Tennessee.
05/2009 "Optimal Non-linear models".SAMPTA 2009. International Conference on Sampling Theory and Applications. Marseille, France.
01/2008 "Geometric Methods in Harmonic Analysis". Colloquium. Department of Mathematics, University of Hawaii, Manoa, Honolulu, USA.
02/2008 "Between Shift Invariante and Translation Invariance". February Fourier Talks. University of Maryland, Colelge Park, USA.
10/2007 "Buscando nuevas herramientas para la digitalización de señales: las ondículas, una solución". Museo Arg. Cs. Naturales, Buenos Aires, Argentina.
09/2006 "Density of Riesz Bases". Seminario del IMAL, Santa Fé, Argentina.
04/2006 "Cantor Sets". Workshop on Frames and Operator Theory 2006. Nashville, TN, USA.
09/2005 "Métodos Geométricos en Análisis Armónico". LV Reunión Anual de la Unión Matemática Argentina. Salta, Argentina.
05/2005 "Riesz Basis Wavelets in L2 (Rd )". International Conference on Modern Methods in Harmonic Analysis, Strobl, Austria.

Alumnos de doctorado 

Graduados:

  • Marcela C. Falsetti. Doctorado en Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Diciembre 2001.
    Tesis: Dimensión de Minkowski y Aplicaciones.
  • Leandro Zuberman. Doctorado en Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Marzo 2008.
    Tesis: Un Teorema Fractal de Plancherel para ciertas Medidas no Duplicantes.
  • Ignacio García.Doctorado en Matematica, Facultad de Ingeniería Química, Universidad Nacional del Litoral. Marzo 2008.
    Tesis:Conjuntos de Cantor No Lineales: Funciones de Dimensión, Dinámica y Sumas Aritméticas.
  • Ezequiel Rela. Doctorado en Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Diciembre 2010.
    Tesis: Estimaciones de dimensión para conjuntos de tipo Furstenberg y Teoremas de Restricción para medidas de Hausdorf.
  • José Luis Romero. Doctorado en Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Marzo 2011.
    Tesis: Descomposiciones atómicas. Algunos problemas de localidad en el espacio de fases.
  • Alejandro Quintero. Doctorado en Matematica, Universidad Nacional de Mar del Plata. Abril 2016.
    Tesis: Existencia y regularidad de bases de wavelets cristalográficas.
  • María Fernanda Barrozo. Doctorado en Matemática, Universidad Nacional de San Luis. Abril 2017
  • Alexia Yavícoli. Doctorado en Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Marzo 2019
  • Mariel Rosenblatt. Doctorado en Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Julio 2019

Alumnos de Maestría & Licenciatura  

Graduados:

  • Romina Jinkis Licenciatura en Cs. Físicas. FCEyN, Universidad de Buenos Aires. December 1998.
  • Pablo Shmerkin. Licenciatura en Cs. Matemáticas, FCEyN, Universidad de Buenos Aires. Buenos Aires, Argentina. August 2001.
  • Leandro Zuberman. Licenciatura en Cs. Matemáticas, FCEyN, Universidad de Buenos Aires. Buenos Aires, Argentina. December 2001.
  • Lucía Babino. Licenciatura en Cs. Matemáticas, FCEyN, Universidad de Buenos Aires. Buenos Aires, Argentina. December 2003.
  • Ezequiel Rela. Licenciatura en Cs. Matemáticas, FCEyN, Universidad de Buenos Aires. Buenos Aires, Argentina. March 2006.
  • José Luis Romero. Licenciatura en Cs. Matemáticas, FCEyN, Universidad de Buenos Aires. Buenos Aires, Argentina. March 2006.
  • María Fernanda Barrozo. Magister in Mathematics, Universidad de San Luis. San Luis, Argentina. November 2010.
    Tesis de Maestría: Sistemas de Contracciones en Espacios Metricos Completos: Conjuntos y Medidas Invariantes

Visitas de Investigación

  • February 2013 to April 2013: Visiting Professor, Department of Mathematics, Vanderbilt University, Nashville, TN, USA.
  • April 2011 to July 2011: Visiting Professor, Department of Mathematics, Vanderbilt University, Nashville, TN, USA.
  • June 2011: Visiting Professor, Department of Mathematics, Universidad Autónoma de Madrid, Spain.
  • February 2008 to April 2008: Visiting Professor, Department of Mathematics, Vanderbilt University, Nashville, TN, USA.
  • January 2008: Visiting Professor, Department of Mathematics, University of Hawaii, Honolulu, HI, USA.
  • March 2005 to August 2005: Research Visitor, Erwin Schroedinger Institute; Visiting Professor, NuHAG Fakultät für Mathematik, Wien, Austria.
  • January 2004 to August 2004: Visiting Professor, Department of Mathematics, Vanderbilt University, Nashville, TN, USA.
  • May 2003: Research Visitor, Erwin Schroedinger Institute, Wien, Austria.
  • Summer 2002: Visiting Professor, Department of Mathematics, Vanderbilt University, Nashville, TN, USA.
  • January 2002 to May 2002: Visiting Associate Professor, Georgia Institute of Technology, Atlanta, GA, USA.
  • November 2001 to December 2001: Visiting Professor. UNL, Santa Fe, Santa Fe, Argentina. (I taught a special topic course on Geometric Measure Theory.
  • July 2001: Research Visit, Ecóle Polytechnique, Paris, France.
  • January 2000 to July 2000: Visiting Associate Professor, Georgia Institute of Technology, Atlanta, GA, USA.
  •  February 1999 to March 1999: Visiting Professor, Instituto Balseiro, CNEA. Bariloche, Argentina.
  • July 1998: Research Visit, Department of Pure Mathematics, University of Waterloo, Waterloo, Canada.
  • June 1998: Research Visit to Vanderbilt University, Nashville, TN, USA.

Gestión y Extensión

  • Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Miembro titular Consejo Directivo. 2015 - presente.
  • Instituto de Investigaciones Matemáticas Luis A. Santaló (IMAS), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Vicedirectora 2011 - presente
  • Miembro de la Comisión Asesora del CONICET. (2011-2012) y (2004-2005).
  • Co-organizadora de los Encuentros Nacionales de Analistas desde 2006 hasta la fecha.
  • Co-organizadora del Primer Festival de Matemática de la Ciudad de Buenos Aires. Buenos Aires, Mayo 2009.
  • Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires:
    • Directora 2005 - 2010
    • Directora adjunta (1995)
    • Miembro de la Comisión de Publicaciones (1994 - 1999)
    • Miembro de la Comisión de Materias Optativas (1995 - 1997)

Referee para las revistas:

  • Journal of Approximation Theory
  • Journal of Math Analysis and Applications
  • Journal of Fourier Analysis and Applications
  • Applied and Computational Harmonic Analysis
  • Computers and Mathematics with Applications
  • Random and Computational Dynamics