14/11/2003, 15:00 — 16:00 — Room P3.10, Mathematics Building
Pedro A. Santos, Instituto Superior Técnico, U.T. Lisboa
On Asymptotics of Toeplitz Determinants
Szegö's strong limit theorem for Toeplitz determinants is
connected to models in statistical physics for the behaviour of
ferromagnets. We obtained a proof for Szegö's strong limit
theorem for Toeplitz operators with a symbol having a nonstandard
smoothness. It is assumed that the symbol belongs to the Wiener
algebra and, moreover, the sequences of Fourier coefficients of the
symbol with negative and nonnegative indices belong to weighted
Orlicz classes generated by complementary N-functions both
satisfying the delta2 condition.
