SPECIAL SESSION and ROUND TABLE
ON OPEN PROBLEMS
December 17, 2002, Tuesday 14h00 (Room P 5)
Yuri Karlovich
(Universidad Autónoma del Estado de Morelos, México)
"Pseudodifferential Operators and Their Applications"
Abstract.
The talk is devoted to a symbol calculus for Banach algebras of
pseudodifferential operators (PDO's) with slowly oscillating
data and their applications to an interpolation theorem for
singular integral operators on weighted Lebesgue spaces and to the
calculation of local spectra for singular integral operators with
shifts and slowly oscillating data on Lebesgue spaces with
Muckenhoupt weights over Carleson curves. The study is based on
the Carleson-Hunt theorem on almost everywhere convergence and
its applications to the boundedness of PDO's, on the techniques of
oscillatory integrals, and on the theory of Mellin PDO's with
slowly oscillating symbols.
15h15 (Room P 5)
Ilya Spitkovsky
(College of William and Mary, Williamsburg, VA, USA)
"Factorization of Almost Periodic Matrix Functions
and its Applications"
Abstract.
We will give an overview of the current state of the spectral theory of
Toeplitz operators with matrix semi almost periodic symbol. The role of
the factorization problem for purely almost periodic (in Bohr sense)
matrix functions will be explained. Existence of factorization will be
discussed along with algorithms of its actual construction. Applications
include (but are not limited to) convolution type equations on finite
intervals.
16h30 (Mailbox Room P 3.12)
Coffee Break
17h00 (Room P 5)
Round Table on Open Problems
This part of the session is open to all members of the group and their guests.
Current research problems will be discussed and estimated for future
projects.
Seminars take place in Lisbon, I.S.T. -
Post Graduation Building
Webpage: http://www.math.ist.utl.pt/funcional
