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Sarason, Donald

Sub-Hardy Hilbert Spaces in The Unit Disk / Donald Sarason - New York : Wiley, ©1994. - xiv, 95 pages ; 25 cm. - University of Arkansas lecture notes in the mathematical sciences, v. 10 .

I. Hilbert Spaces Inside Hilbert Spaces --
II. Hilbert Spaces Inside H[superscript 2] --
III. Cauchy Integral Representations --
IV. Nonextreme Points --
V. Extreme Points --
VI. Angular Derivatives --
VII. Higher Derivatives --
VIII. Equality of H(b) and H([actual symbol not reproducible]) --
IX. Equality of H(b) and M(a) --
X. Near Equality of H(b) and M(a) --
XI. Brief Mention of a Few Additional Topics.

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

ISBN: 9780471048978

Publisher. No.: Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035

Subjects--Topical Terms:
Mathematics
Analysis
Hilbert space.
Espace de Hilbert.
Hardy-ruimten.
Hilbert, espaces de.
Hardy, espaces de.

Dewey Class. No.: 515.733 SAR