Approximation and Related Problems

Organisers

Anton Baranov (St. Petersburg State University) and Konstantin Fedorovskiy (Bauman Moscow State Technical University)

Description

The scope of this session encompasses various approximation problems in complex and harmonic analysis as well as topics in analysis and PDE, inspired by or related with approximation. The main topics of the session include but are not limited to:

• Approximation by analytic, harmonic, polyanalytic and polyharmonic functions and by solutions of general elliptic PDE on compact (or closed) subsets of Euclidean spaces.
• Completeness properties for special systems of functions including eigenfunction families of certain second order differential operators.
• Rational approximation and related topics.