Convolution Operators and Factorization of Almost Periodic Matrix Functions - Couverture rigide

Böttcher, Albrecht; Karlovich, Yuri I.; Spitkovsky, Ilya M.

Couverture rigide

ISBN 10 : 3764366729 ISBN 13 : 9783764366728

Editeur : Birkhauser Verlag AG, 2002

Synopsis

Many problems of the engineering sciences, physics, and mathematics lead to con- volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 3764366729
• ISBN 13: 9783764366728
• Reliure: Relié
• Nombre de pages: 473
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible