# Functional Analysis, Approximation Theory and Numerical Analysis

## Matera, Italy, July 5-8, 2022

**Session:** **Multivariate Polynomials in Approximation and Signal Analysis**

The main goal of the session is to provide a platform for discussion of
new developments and recent advances in the areas of approximation and interpolation of
functions of several variables, extremal properties of multivariate polynomials and signal analysis.

**Organizers:**

- Frank Filbir,
*filbir@helmholtz-muenchen.de*
- András Kroó,
*kroo@renyi.hu*
- Woula Themistoclakis,
*woula.themistoclakis@cnr.it*

**Talks:**

- T. Beberok,
*Lp Markov exponent of certain
UPC sets*
- L. Bialas-Ciez,
*Lojasiewicz exponent and pluricomplex Green's
function on algebraic sets*
- V. Bruni,
*Efficient time-frequency representations of
nonstationary signals for instantaneous frequencies estimation*
- R. Campagna,
*An algorithm for constrained regression by
penalized splines*
- M. Cotronei,
*Bernstein polynomials and subdivision schemes for
the reconstruction of binary images*
- S. De Marchi,
*Multivariate fakes nodes approach*
- F. Filbir,
*Marcinkiewicz-Zygmund inequalities for scattered
and random data on the d-dimensional unit sphere*
- A.P. Horváth,
*Heat-diffusion semigroup and other translations*
- A. Kowalska,
*Polynomial meshes on algebraic hypersurfaces*
- A. Kroó,
*On Bernstein- and Marcinkiewicz-type inequalities
on multivariate C^alpha-domains*
- A.L. Laguardia,
*Numerical methods for 2D linear Fredholm integral
equations on curvilinear polygons*
- R. O'Dowd,
*Direct method for function approximation on data
defined manifolds, II*
- A. Veselovska,
*Prony-Type Polynomials*