CV U.M.

URSULA M. MOLTER

e-mail:umolter@dm.uba.ar

Academic degrees

PH.D. in Mathematics, Medidas Tangenciales sobre Cilindros Convexos en E^n, 1983,
Department of Mathematics, F.C.E.y N., University of Buenos Aires.
Supervisor: Prof. Luis A. Santaló

Licenciatura en Matemática (equivalent to M.Sc.), 1980,
Department of Mathematics, F.C.E.y N., University of Buenos Aires.
Supervisor: Prof. Luis A. Santaló

Position

Associate Professor, Department of Mathematics, University of Buenos Aires, June 1993 - present
Researcher, CONICET, July 1987 - present

Member of the research group: Real and Harmonic Analysis
Department of Mathematics, F.C.E.y N., Universidad de Buenos Aires.

Awards

Alβan Fellow, High Level European Union Fellowship 2005.
Guggenheim Fellow, 2003.
Fulbright Senior Research Award, 2003.

Membership in Academic Institutions:

Unión Matemática Argentina
American Mathematical Society
Society for Industrial and Applied Mathematics.

Selected Publications

Variations on the Theme of Journé’s Lemma. Houston Journal of Mathematics. In Press. 2005. (arxiv math.CA/0412174, 2004.) (with Cabrelli, C., Lacey, M. and Pipher, J.).
Wavelets on Irregular Grids with Arbitrary Dilation Matrices, and Frame Atoms for L2(Rd). Applied and Computational Harmonic Analysis. Special Issue on Frames. 119 140. 2004 (with Aldroubi, A. , Cabrelli, C.)
On the Hausdorff h-measure of Cantor sets. Pacific Journal of Mathematics. 217, 45-59. 2004 (with C. Cabrelli, F. Mendivil and R. Shonkweiler).
Local bases for refinable spaces. Proceedings of the AMS. In Press. 2004. (with Cabrelli, C. and Heineken, S.)
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. In press . (2004). (with Cabrelli, C. and Heineken, S.)
Self-Similarity and Multiwavelets in higher dimensions. Memoirs of the American Mathematical Society 170 (807) 82pp. 2004 (with Cabrelli, C. and Heil, C.)
Hausdorff Measure of p-Cantor sets. Real Analysis Exchange. In Press. 2005 (with Cabrelli, C., Paulauskas, V. and Shonkwiler, R.)
Sums of Cantor Sets yielding an interval. Journal of the Australian Math. Society, Series A.73(3) 405-418, 2002 . (with Cabrelli, C. and Hare, K.)
Block-coding. A functional Approach. Computers and Mathematics with applications. 44 (8-9): 1183 - 1200, 2002. (with Cabrelli, C. and Falsetti, M.)
Accuracy of Multiple Refinable Distributions, Journal of Fourier Analysis and Applications, 6 (5): 213-245, 2000. (with Cabrelli, C. and Heil, C.)
Generalized Self-Similarity. Journal of Mathematical Analysis and Applications. 230: 251 - 260, 1999. (with Cabrelli, C.)
Accuracy of Lattice Translates of Several Multidimensional Refinable Functions. Journal of Approximation Theory. 95: 5 - 52, 1998. (with Cabrelli, C. and Heil, C.)
A linear Time Algorithm for the computation of the Kantorovich Distance on the Circle. Information Processing Letters, 66 (3): 161 - 164, 1998. (with Cabrelli, C.)
Sums of Cantor Sets. Ergodic Theory and Dynamical Systems, 17 (6): 1299-1313, 1997. (with Cabrelli, C. and Hare, K.)

Some Invited Lectures

12/04: Teselados Fractales. Instituto de Ciencias Básicas, Universidad Nacional de Cuyo, Mendoza, Argentina.
05/04: Multivariate homogeneous functions in shift invariant spaces. Keynote Address. Computational Harmonic Analysis 2004, Nashville, Tennessee, USA.
05/03: Sequences, Cantor Sets and Hausdorff measure. Colloquium of the Department of Mathematics, University of Wien, Vienna, Austria.
01/03: Optimal Shift Invariant Spaces. Special Session ``Wavelets Frames and Operators'', AMS Winter meeting, Baltimore, MD, USA.
11/02: Conjuntos de Cantor de medida positiva. Colloquium of the Department of Mathematics, University of Buenos Aires, Buenos Aires, Argentina.
08/00: Necessary conditions for the existence of multidimensional refinable functions. 45. SPIEE. Wavelets in Signal and Image Processing, San Diego, CA, USA
03/00: Wavelets and Tilings in R^d. Banach space workshop. Kent State, Kent, OH, USA.
03/00: Sums of Cantor Sets, Colloquium of the Department of Mathematics, Miami University, Oxford, OH, USA.
06/99: Una recíproca del Teorema del Punto Fijo, Instituto Argentino de Matemática. Buenos Aires. Argentina.

PHD Students

Already graduated:

Marcela C. Falsetti PHD in Mathematics, University of Buenos Aires. December 2003.

Current:

Leandro Zuberman. PHD in Mathematics, University of Buenos Aires. Buenos Aires, Argentina.

Ignacio García. PHD in Mathematics, University of Santa Fe, Santa Fe, Argentina.

Latest Research Visits

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.

Thesis committees, selection committees, other

Member of the Committee for Mathematics and Computation of the CONICET (Argentine equivalent of the French CNRS), Argentina. (2004-2005)
Member of the selection Committee for research scholarships of the CONICET (Argentine equivalent of the French CNRS), Argentina. (2002)
Referee for Research Grants of the Agencia Nacional de Promoción Científica y Tecnológica, Argentina, 1998, 1999, 2000.
Referee for Research Grants of the University of Buenos Aires, 1997, 1996.
Referee for a Research Grants, Universidad de Mar del Plata, Argentina, 1996.

Referee for the following Journals:

Journal of Fourier Analysis and Applications
Applied and Computational Harmonic Analysis
Computers and Mathematics with Applications
Random and Computational Dynamics