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1	Second-order trace formulas in Szegö-type theorems Vasil'ev, Vladimir A., Silbermann, Bernd. January 2007 (has links) Chemnitz, Techn. Univ., Masterarb., 2002.
2	Second-Order Trace Formulas in Szegö-type Theorems Vasilyev, Vladimir 15 February 2007 (has links) (PDF) A new way of proof of Szegö-type theorems is presented. The idea of the proof is based on the construction of "almost" inverse operator to the finite section T_n(a) of a Toeplitz operator T(a), which is close to the inverse operator in the trace norm (these "almost" inverses are well-known). This way of proof gives the possibility to write another representation for the second constant E_f(a), and in the scalar case to receive a shorter representation. Another observation is that the convergence in these theorems is strongly dependent on the smoothness of the generating function a. Matrix symbol Szegö-type theorem Trace formula ddc:510 Asymptotik Asymptotische Entwicklung Spurklassenoperator Toeplitz-Grenzwertsatz Toeplitz-Operator
3	Second-Order Trace Formulas in Szegö-type Theorems Vasilyev, Vladimir 15 October 2002 (has links) A new way of proof of Szegö-type theorems is presented. The idea of the proof is based on the construction of "almost" inverse operator to the finite section T_n(a) of a Toeplitz operator T(a), which is close to the inverse operator in the trace norm (these "almost" inverses are well-known). This way of proof gives the possibility to write another representation for the second constant E_f(a), and in the scalar case to receive a shorter representation. Another observation is that the convergence in these theorems is strongly dependent on the smoothness of the generating function a. info:eu-repo/classification/ddc/510 ddc:510 Asymptotik Asymptotische Entwicklung Spurklassenoperator Toeplitz-Grenzwertsatz Toeplitz-Operator Matrix symbol Szegö-type theorem Trace formula

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