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Introduction to Model Spaces and their Operators - Stephan Ramon Garcia, Javad Mashreghi, William T. Ross

Introduction to Model Spaces and their Operators

Buch | Hardcover
340 Seiten
2016
Cambridge University Press (Verlag)
978-1-107-10874-5 (ISBN)
CHF 116,95 inkl. MwSt
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The study of model spaces is a broad field with connections to complex analysis, operator theory, engineering and mathematical physics. This self-contained text is the ideal introduction for newcomers, quickly taking them through the history of the subject and then pointing towards areas of future research.
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.

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.

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.

Erscheint lt. Verlag 17.5.2016
Reihe/Serie Cambridge Studies in Advanced Mathematics
Zusatzinfo Worked examples or Exercises; 4 Halftones, unspecified; 6 Line drawings, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 157 x 235 mm
Gewicht 600 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-107-10874-8 / 1107108748
ISBN-13 978-1-107-10874-5 / 9781107108745
Zustand Neuware
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