Ergodic theory for the one-dimensional Jacobi operator

• Autorzy: Carmen Núñez , Rafael Obaya
• Języki publikacji: EN

Abstrakty

EN

We determine the number and properties of the invariant measures under the projective flow defined by a family of one-dimensional Jacobi operators. We calculate the derivative of the Floquet coefficient on the absolutely continuous spectrum and deduce the existence of the non-tangential limit of Weyl m-functions in the $L^1$-topology.

Kategorie tematyczne

• 39A10: Difference equations, additive
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995-1996
• Tom: 117
• Numer: 2
• Strony: 149-171

Daty

wydano

1996

otrzymano

1995-04-04

poprawiono

1995-06-19

Twórcy

autor

Carmen Núñez

• Departamento de Matemática Aplicada a la Ingeniería, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce S/N, E-47011 Valladolid, Spain

autor

Rafael Obaya

• Departamento de Matemática Aplicada a la Ingeniería, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce S/N, E-47011 Valladolid, Spain

Bibliografia

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