Sub-Hardy Hilbert Spaces in the Unit Disk

Donald Sarason (Autor)

Buch | Hardcover

112 Seiten

1994
Wiley-Interscience (Verlag)
9780471048978 (ISBN)

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This monograph describes a family of Hilbert spaces of holomorphic functions in the unit disk. It also develops the basic structure of de Branges-Rovnyak spaces and some of the function-theoretical connections between these spaces.

This up-to-date account brings together results previously scattered throughout the literature as well as new material in the area of function theory. The focus is on describing some of what has been learned thus far about the structure of the de Branges-Rovnyak spaces and their function-theoretic connections.

Donald Erik Sarason was an American mathematician who made fundamental advances in the areas of Hardy space theory and VMO. He was one of the most popular doctoral advisors in the Mathematics Department at UC Berkeley. He supervised 39 Ph.D. theses at UC Berkeley.

Hilbert Spaces Inside Hilbert Spaces.

Hilbert Spaces Inside H?.

Cauchy Integral Representations.

Nonextreme Points.

Extreme Points.

Angular Derivatives.

Higher Derivatives.

Equality of H(b) and H().

Equality of H(b) and M(a).

Near Equality of H(b) and M(a).

Brief Mention of a Few Additional Topics.

References.

Supplementary References.

Index.

Erscheint lt. Verlag	4.10.1994
Reihe/Serie	The University of Arkansas Lecture Notes in the Mathematical Sciences
Sprache	englisch
Maße	160 x 242 mm
Gewicht	397 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780471048978 / 9780471048978
Zustand	Neuware