This proposal will focus attention on a variety of problems in interpolation, invariant subspaces, and model theory on reproducing kernel Hilbert spaces of analytic functions on domains in Cn. These problems connect operator theory and function theory. Examples of such problems are the corona problem on symmetric Fock space on the unti ball of Cn and the corona problem on Hardy space of the unit polydisc in Cn.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
0400307
Program Officer
Bruce P. Palka
Project Start
Project End
Budget Start
2004-06-01
Budget End
2007-05-31
Support Year
Fiscal Year
2004
Total Cost
$87,026
Indirect Cost
Name
University of Alabama Tuscaloosa
Department
Type
DUNS #
City
Tuscaloosa
State
AL
Country
United States
Zip Code
35487