Departamento de Matemática Facultad de Ciencias Exactas y Naturales Instituto de Investigaciones Matemáticas Luis A. Santalo (IMAS) Universidad de Buenos Aires Pabellón I - Ciudad Universitaria (1428) - Ciudad Autónoma de Buenos Aires Argentina E-mail: vpater@dm.uba.ar

Research Interests

1. Harmonic Analysis
2. Frame Theory
3. Shift-Invariant Spaces
4. Operator Theory
5. Perturbation Theory
6. Sampling Theory

Current position

1. Professor (Profesora Adjunta), UBA.
2. Researcher (Investigadora Adjunta), CONICET.

Publications and preprints

Preprints

1. D. Kosz, J. Martínez Perales, V. Paternostro, E. Rela and L. Roncal, Maximal operators on the infinite-dimensional torus, (2021). PDF
   

Journal Papers

1. A. Aguilera, C. Cabrelli, D. Carbajal and V. Paternostro, Diagonalization of shift-preserving operators, Adv. Math., 389 (2021), Paper No. 107892. PDF.
2. C. Cabrelli, C. Mosquera and V. Paternostro, Extra-invariance of group actions, J. Geom. Anal., 31, (2021), 11878-11898. PDF.
3. A. Aguilera, C. Cabrelli, D. Carbajal and V. Paternostro, Dynamical Sampling for shift-preserving operators, Appl. Comput. Harmonic Anal., 51, (2021), 258-274. PDF.
4. D. Barbieri, E. Hernández and V. Paternostro, Spaces invariant under unitary representations of discrete groups, J. Math. Anal. Appl., 492, (2020), 1, 124357, 32 pp. PDF.
5. C. Cabrelli, U. Molter, V. Paternostro and F. Philipp Dynamical Sampling on finite index sets, Journal d’Analyse Mathematique, 140, (2020), 637–667. PDF.
6. V. Paternostro and E. Rela Improved Buckley's Theorem on locally compact abelian groups, Pacific J. Math., 299 (2019), 1, 171–189. (DOI 10.2140/pjm.2019.299.171). PDF.
7. D. Barbieri, E. Hernández and V. Paternostro, Group Riesz and Frame Sequences: The Bracket and the Gramian, Collectanea Mathematica, 69, (2018), 2, 221–236. PDF.
8. G. Kutyniok, V. Paternostro and F. Philipp, The effect of perturbations of operator-valued frame sequences and fusion frames on their duals, Operators and Matrices, 11, (2017), 2, 301–336. PDF.
9. C. Cabrelli, C. Mosquera and V. Paternostro, An Approximation Problem in Multiplicatively Invariant Spaces, Contemp. Math., 693, (2017), 143–165. PDF.
10. D. Barbieri, E. Hernández and V. Paternostro, The Zak transform and the structure of spaces invariant by the action of an LCA group, J. Funct. Anal. 269, (2015), 5, 1327-1358. PDF.
11. V. Paternostro, Linear combinations of generators in multiplicatively invariant spaces, Studia Math. 226, (2015), 1, 1-16. PDF.
12. C. Cabrelli, C. Mosquera and V. Paternostro, Linear combinations of frames generators in systems of translates, J. Math. Anal. Appl. 413, (2014), 2, 776--788. PDF.
13. S. Heineken, E. Matusiak and V. Paternostro, Perturbation of frame sequences: canonical dual systems, approximate reconstructions and applications, Int. J. Wavelets Multiresolut. Inf. Process., 12}, (2014), 2. PDF.
14. C. Cabrelli and V. Paternostro, Shift-Modulation Invariant Spaces on LCA Groups, Studia Math. 211, (2012), 1, 1--19. PDF.
15. M. Anastasio, C. Cabrelli, V. Paternostro, Invariance of a Shift-Invariant Space in several variables, Complex Anal. Oper. Theory 5, (2011), 4, 1031-1050. PDF.
16. M. Anastasio, C. Cabrelli, V. Paternostro, Extra invariance of shift-invariant spaces on LCA groups, J. Math. Anal. Appl. 370, (2010), 2, 530--537. PDF.
17. C. Cabrelli and V. Paternostro, Shift-Invariant Spaces on LCA Groups, J. Funct. Anal. 258, (2010), 6, 2034--2059. PDF.

Proceedings

1. A. Aguilera, C. Cabrelli, D. Carbajal and V. Paternostro, Frames by Iterations in Shift-invariant Spaces, 13th International Conference on Sampling Theory and Applications (SampTA’19, Bordeaux, Francia, 2019). Por aparecer. PDF.
2. C. Cabrelli, U. Molter, V. Paternostro and F. Philipp, Finite Sensor Dynamical Sampling, 12th International Conference on Sampling Theory and Applications (SampTA'17), IEEE Xplore, (2017), 50–54. PDF.
3. G. Kutyniok, V. Paternostro and F. Philipp, Perturbations of Fusion Frames and the Effect on Their Canonical Dual, Proc. SPIE Optical Engineering+ Applications, (2015), 95970S-95970S-7. PDF.
4. I. Bojarovska and V. Paternostro, Gabor fusion frames generated by difference sets, Proc. SPIE Optical Engineering+ Applications, (2015), 95970D-95970D-14. PDF.

Other Publications

1. D. Barbieri, E. Hernández and V. Paternostro, Noncommutative Shift-Invariant Spaces, (2015), PDF.
2. PhD Thesis: Estuctura y propiedades de espacios invariables por traslaciones en grupos abelianos localmente compactos.
3. Tesis de Licenciatura (Spanish): Teorema de Balian-Low. PDF.

Students

1. Rocío Nores, PhD student. Advisor. Since 2021.
2. Rocío Nores, undergraduate student. " Master Thesis March ", 2021
3. Alejandra Aguilera Aguilera, PhD student. Co-Advisor. Since 2019.

Curriculum



1. Spanish. PDF.
2. English. PDF.