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Professor Ruhan Zhao
Fri May 13, 2005
4:00 pm
We characterize bounded and compact weighted
composition operators
acting between weighted Bergman spaces and between
Hardy spaces.
Our results use certain integral transforms that
generalize the Berezin transform.
We also estimate the essential norms of these
operators.
As applications, we characterize bounded and compact
pointwise multiplication...
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David Sherman
Tue Apr 26, 2005
3:00 pm
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Viktor Lomonosov
Tue Mar 22, 2005
3:00 pm
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...
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Devin Greene
Tue Mar 15, 2005
3:00 pm
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.
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Professor John Sylvester
Tue Mar 8, 2005
3:00 pm
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).
Neither the...
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Tue Mar 1, 2005
3:00 pm
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Matthew Neal
Fri Feb 25, 2005
4:00 pm
