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Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method

Marko Lindner

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Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-3-7643-7766-3

ISBN electrónico

978-3-7643-7767-0

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Birkhäuser Verlag 2006

Cobertura temática

Tabla de contenidos

Preliminaries

Marko Lindner

In this section we formulate the basic problems of spectral analysis and spectral synthesis on commutative hypergroups and solve these problems on some types of hypergroups (see [72]). For more about -spectral synthesis on hypergroups we refer to the the paper [78]. In [7] a Wiener Tauberian Theorem is presented for commutative locally compact hypergroups, whose dual is a hypergroup under pointwise operations. For further references on -spectral synthesis in hypergroups the reader is referred to [8], [31], [50].

Pp. 1-49

Invertibility at Infinity

Marko Lindner

In this section we formulate the basic problems of spectral analysis and spectral synthesis on commutative hypergroups and solve these problems on some types of hypergroups (see [72]). For more about -spectral synthesis on hypergroups we refer to the the paper [78]. In [7] a Wiener Tauberian Theorem is presented for commutative locally compact hypergroups, whose dual is a hypergroup under pointwise operations. For further references on -spectral synthesis in hypergroups the reader is referred to [8], [31], [50].

Pp. 51-74

Limit Operators

Marko Lindner

In this section we formulate the basic problems of spectral analysis and spectral synthesis on commutative hypergroups and solve these problems on some types of hypergroups (see [72]). For more about -spectral synthesis on hypergroups we refer to the the paper [78]. In [7] a Wiener Tauberian Theorem is presented for commutative locally compact hypergroups, whose dual is a hypergroup under pointwise operations. For further references on -spectral synthesis in hypergroups the reader is referred to [8], [31], [50].

Pp. 75-148

Stability of the Finite Section Method

Marko Lindner

In this section we formulate the basic problems of spectral analysis and spectral synthesis on commutative hypergroups and solve these problems on some types of hypergroups (see [72]). For more about -spectral synthesis on hypergroups we refer to the the paper [78]. In [7] a Wiener Tauberian Theorem is presented for commutative locally compact hypergroups, whose dual is a hypergroup under pointwise operations. For further references on -spectral synthesis in hypergroups the reader is referred to [8], [31], [50].

Pp. 149-179