Introduction to Model Spaces and their Operators

Inbunden, Engelska, 2016

Del 148 i serien Cambridge Studies in Advanced Mathematics

929 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-05-17
Mått:157 x 235 x 23 mm
Vikt:600 g
Format:Inbunden
Språk:Engelska
Serie:Cambridge Studies in Advanced Mathematics
Antal sidor:340
Förlag:Cambridge University Press
ISBN:9781107108745

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Stephan Ramon Garcia is an Associate Professor at Pomona College, California. He has earned multiple NSF research grants and five teaching awards from three different institutions. He has also authored over 50 research articles in operator theory, complex analysis, matrix analysis, and number theory. Javad Mashreghi is a Professor of Mathematics at Université Laval, Québec, where he has been selected Star Professor of the Year seven times for excellence in teaching. His main fields of interest are complex analysis, operator theory and harmonic analysis. He is the author of several mathematical textbooks, monographs and research articles. He won the G. de B. Robinson Award, the publication prize of the Canadian Mathematical Society, in 2004. William T. Ross is the Roger Francis and Mary Saunders Richardson Chair in Mathematics at the University of Richmond, Virginia. He is the author of over 40 research papers in function theory and operator theory and also four books.

Innehållsförteckning

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.