Professor Ruhan Zhao
Fri May 13, 2005
We characterize bounded and compact weighted
acting between weighted Bergman spaces and between
Our results use certain integral transforms that
generalize the Berezin transform.
We also estimate the essential norms of these
As applications, we characterize bounded and compact
Tue Apr 26, 2005
Tue Mar 22, 2005
The Bishop-Phelps Theorem asserts that the set of functionals which attain the maximum value on a closed bounded convex subset of a real Banach space is norm dense in the dual space. We show that this statement cannot be extended to general complex Banach spaces by constructing a closed bounded convex set with no support points. We show also that...
Tue Mar 15, 2005
Using calculus and basic Hilbert space theory, we derive some results about the location of zeros of Riemann's zeta-function. The results are known; it is the manner in which they are derived that is new.
Professor John Sylvester
Tue Mar 8, 2005
I will give an introduction to the scattering theory for
the Helmholtz equation, and then discuss the inverse source and inverse scattering problems.
The basic problem is to describe a source, or scatterer, of a wave based on observations of the far field (a solution to the Helmholtz equation far away from the source or scatterer).
Tue Mar 1, 2005
Fri Feb 25, 2005