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Next talks of the seminar (11:00, Room Sousa Pinto):
18/03/2010: " Applications of operator theory to
diffraction problems on gratings "
Ana Moura Santos (Instituto Superior Técnico, Lisbon)
Abstract: We
consider different diffraction problems by a periodic strip grating. The
boundary-value problems are studied with the help of convolution
type operators. For the case of the period of the grating twice
the width of the strips, it is possible to achieve an invertibility theory for certain boundary conditions.
For an arbitrary geometry of the grating, Fredholm
properties and Fredholm indices for the
operators associated to the oblique derivative and the Neumann
boundary-value problems are obtained.
25/03/2010: " On the structure of meromorphic
factors for 2x2 matrix functions "
Teresa
Malheiro (University of Minho, Portugal)
Abstract: It is shown that for a large class of 2x2 matrix functions a meromorphic factorization with a particular structure
can be constructed if a solution to an associated Riemann Hilbert problem
is known. The results are applied to study some properties such as invertibility of Toeplitz operators
in a particular class.
This is a joint work
with Cristina Câmara.
08/04/2010: " t.b.a. "
Abel Carvalho (UIMA, University of Aveiro)
Abstract:
22/04/2010: " t.b.a. "
Cornelia
Schneider (CMUC, University
of Coimbra)
Abstract:
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