Description: Special Functions of Mathematical Physics, and among them orthogonal polynomials, have been and still are an important research subject of mathematics, both pure and applied. Their applications go from probability to quantum mechanics including number theory. Orthogonal polynomials are nowadays in Italy and Spain a very active research area with an excellent international projection.
The Session aim is to show some recent trends on this topic at international level. In the last years, an intensive activity was focused on the study of analytic properties of orthogonal polynomials with respect to several patterns of inner products: Sobolev inner products defined by a vector of measures, inner products defined by matrices of measures, inner products defined by measures supported on the unit circle and so on. The asymptotic behavior of these polynomials and the location of their zeros, as well as the spectral analysis of differential/difference operators such that those polynomials are eigenfunctions have attracted the interest of many researchers. Their applications to integrable systems (in particular in the analysis of the Toda hierarchy and the supersymmetry SUSY models), factorization of some structured matrices (Jacobi and CMV) and differential operators (Darboux transformations, bispectrality), Fourier analysis and the connections with numerical methods for boundary value problems have been also studied in such a way that we have an interdisciplinary approach where many branches of mathematics are very useful.
This proposal of Special Session is supported by OrthoNet, the Spanish net on orthogonal polynomials and special functions.
Session Structure: 10 invited speakers and 5 young researchers (i.e.: researchers who are finishing or have recently finised their Ph. d.). The tentative list of speakers is the following.
Invited speakers:
- Mirella Cappelleti Montano. University of Bari (Italia).
- Roberto Cavoretto. University of Turin (Italia).
- Edmundo Huertas. Coimbra University (Portugal).
- Erik Koelink. Radboud University (Holanda).
- Vita Leonessa. (University of Basilicata (Italia).
- Elisabetta Longo. University of Calabria (Italia).
- Ester Pérez Sinusia. Universidad de Zaragoza (España)
- Filomena Di Tommaso. University of Calabria (Italia).
Young researchers:
- Carlos Alvarez Fernandez (Universidad Complutense).
- Mariarosa Mazza (University of Insubria).
- Maria Francisca Perez Valero (Universidad Carlos III de Madrid).
- Dario Ramos López (Universidad de Almería).
- Vanesa Sánchez Canales (Universidad de Sevilla).
- Gabriele Santin (University of Padua)
Time: 8 hours.
Schedule: To be announced.
To download the abstracts of the italian mathematicians click HERE. The abstract of the others talks will be avaliable later on.
Organizers:
- Prof: Antonio J. Durán (corresponding organizer)
Departamento de Análisis Matemático, Universidad de Sevilla
Phone: 95 455 79 80, E-mail: duran@us.es - Prof: Francisco Marcellán
Departamento de Matemáticas, Universidad Carlos III de Madrid
Phone: 91 624 94 42, E-mail: pacomarc@ing.uc3m.es - Prof: Donatella Occorsio
Universita della Basilicata (Italy)
E-mail: donatella.occorsio@unibas.it - Prof: Maria Grazia Russo
Universita della Basilicata (Italy)
E-mail: mariagrazia.russo@unibas.it