Théorèmes de trace de type Szegö dans le cas singulier |
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Authors: | Philippe Rambour Abdellatif Seghier |
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Affiliation: | Université de Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France |
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Abstract: | Let f be a function eiθ→f(eiθ)=|1−eiθ|2αf1(eiθ) with f1 a regular strictly positive function and a real number α in ]−1/2,1/2[?{0}. In a previous paper for such a number α we have obtained the asymptotic behaviour of the entries of the inverse of the Toeplitz matrix TN,f when N goes to infinity. These results allow us to give trace formulas, which extend a classical expression of Szegö's limits theorems. |
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Keywords: | 47B39 47BXX |
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