Hardy spaces on the Klein-Dirac quadric and multidimensional annulus: applications to Interpolation, Moment problems, and Cubature

Seminar
Analysis
Speaker
Prof. Ognyan Kounchev IZKS, University of Bonn, Germany Institute of mathematics and informatics, Bulgarian Academy of Sciences
Date
01/11/2015 – 26/10/2015 - 11:30 - 14:00Add to Calendar 2015-10-26 14:00:00 2015-11-01 11:30:00 Hardy spaces on the Klein-Dirac quadric and multidimensional annulus: applications to Interpolation, Moment problems, and Cubature We present a new construction of Hardy spaces on the Klein-Dirac quadric; we show that the quadric is obtained as a complexification of the unit ball in R^n. We introduce also Hardy spaces on complexified multidimensional annulus. We show some natural properties of these Hardy spaces, in particular, Cauchy type formula, and Brothers Riesz type theorem. We prove applications to the multidimensional Moment problem, multidimensional Interpolation theory, and Cubature formulas. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

We present a new construction of Hardy spaces on the Klein-Dirac
quadric; we show that the quadric is obtained as a complexification of the
unit ball in R^n. We introduce also Hardy spaces on complexified
multidimensional annulus.
We show some natural properties of these Hardy spaces, in particular,
Cauchy type formula, and Brothers Riesz type theorem.
We prove applications to the multidimensional Moment problem,
multidimensional Interpolation theory, and Cubature formulas.

Last Updated Date : 01/11/2015