IST IST

Seminar on
Functional Analysis and Applications

Supported by The Centre for Mathematics and its Applications - CEMAT and PRAXIS XXI.
  • November 14, 2003 , Friday - 15h00 (Room P 3.10):

On Asymptotics of Toeplitz Determinants 


Pedro A. Santos 






(Instituto Superior Técnico, U.T. Lisboa)






Abstract. 
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.











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