576
Książki
Cambridge University Press
The Theory of H(b) Spaces: Volume 1
Wydawnictwo:
Cambridge University Press
Oprawa: Twarda
Opis
An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.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 KTHETA; 15. Bases of reproducing kernels and interpolation; Bibliography; Index.
Szczegóły
Tytuł
The Theory of H(b) Spaces: Volume 1
Autor
Javad Mashreghi
, Emmanuel Fricain
Wydawnictwo
Rok wydania
2000
Oprawa
Twarda
Ilość stron
702
ISBN
9781107027770
Rodzaj
Książka
EAN
9781107027770
Kraj produkcji
ES
Producent
Cambridge University Press
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The Theory of H(b) Spaces: Volume 1
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