TY - BOOK AU - Sarason, Donald AU - Sarason, Donald TI - Sub-Hardy Hilbert Spaces in The Unit Disk T2 - University of Arkansas lecture notes in the mathematical sciences, v. 10 SN - 9780471048978 U1 - 515.733 SAR PY - 1994/// CY - New York PB - : Wiley, KW - Mathematics KW - Analysis KW - Hilbert space KW - Espace de Hilbert KW - Hardy-ruimten KW - Hilbert, espaces de KW - Hardy, espaces de N1 - 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 N2 - 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 ER -