Emmanuel Fricain, Javad Mashreghi

The Theory of H(b) Spaces

• Gebundenes Buch

Produktbeschreibung

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 702
• Erscheinungstermin: 22. April 2016
• Englisch
• Abmessung: 235mm x 157mm x 45mm
• Gewicht: 1273g
• ISBN-13: 9781107027770
• ISBN-10: 1107027772
• Artikelnr.: 37065667

Autorenporträt

Emmanuel Fricain is a Professor in the Laboratoire Paul Painlevé at Université Lille 1. A part of his research focuses on the interaction between complex analysis and operator theory, which is the main matter of this book. He has a long experience of teaching numerous graduate courses on different aspects of analytic Hilbert spaces and has published several papers on H(b) spaces in high-quality journals, making him a world specialist in this subject.

Inhaltsangabe

List of figures
Preface
List of symbols
Important conventions
1. *Normed linear spaces and their operators
2. Some families of operators
3. Harmonic functions on the open unit disc
4. Analytic functions on the open unit disc
5. The corona problem
6. Extreme and exposed points
7. More advanced results in operator theory
8. The shift operator
9. Analytic reproducing kernel Hilbert spaces
10. Bases in Banach spaces
11. Hankel operators
12. Toeplitz operators
13. Cauchy transform and Clark measures
14. Model subspaces K¿
15. Bases of reproducing kernels and interpolation
Bibliography
Index.