GAMP/OpAlg seminar by Alexandru Aleman (U Lund)
GAMP (Geometric Analysis and Mathematical Physics) Seminar.
Speaker: Alexandru Aleman (U Lund).
Title: Factorizations induced by complete Nevanlinna-Pick factors.
Abstract: (Abstract as a .pdf-file).
The talk concerns representations of functions in various Hilbert function
spaces as quotients of multipliers. The first result of this type goes back to
the brothers Nevanlinna and several extensions have been proved in the 90’s.
Recently, such a representation has been obtained for the Drury-Arveson
space on the unit ball of Cd . The purpose is to present a unified approach via
a general factorization theorem for reproducing kernel Hilbert spaces whose
kernel has a normalized complete Nevanlinna-Pick factor. This result relates
the functions in the original space to functions in the space determined by
the Nevanlinna-Pick kernel and its pointwise multipliers, and has a number
of interesting applications. The material is based on joint work with M.
Hartz, J. McCarthy, S. Richter.