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Introduction to Model Spaces and their Operators: Cambridge Studies in Advanced Mathematics, cartea 148

Autor Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
en Limba Engleză Hardback – 17 mai 2016
The study of model spaces, the closed invariant subspaces of the backward shift operator, is a vast area of research with connections to complex analysis, operator theory and functional analysis. This self-contained text is the ideal introduction for newcomers to the field. It sets out the basic ideas and quickly takes the reader through the history of the subject before ending up at the frontier of mathematical analysis. Open questions point to potential areas of future research, offering plenty of inspiration to graduate students wishing to advance further.
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Specificații

ISBN-13: 9781107108745
ISBN-10: 1107108748
Pagini: 340
Ilustrații: 10 b/w illus.
Dimensiuni: 157 x 235 x 23 mm
Greutate: 0.59 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Studies in Advanced Mathematics

Locul publicării:New York, United States

Cuprins

Preface; Notation; 1. Preliminaries; 2. Inner functions; 3. Hardy spaces; 4. Operators on the Hardy space; 5. Model spaces; 6. Operators between model spaces; 7. Boundary behavior; 8. Conjugation; 9. The compressed shift; 10. The commutant lifting theorem; 11. Clark measures; 12. Riesz bases; 13. Truncated Toeplitz operators; References; Index.

Notă biografică


Descriere

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.