Description

Book Synopsis
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.

Table of Contents
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.

SubHardy Hilbert Spaces in the Unit Disk

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    A Hardback by Donald Sarason

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      Book details

      Publisher John Wiley & Sons Inc
      Published 10 April 1994
      ISBN-13 9780471048978
      978-0471048978
      ISBN-10 0471048976
      Also in:
      Mathematics Complex analysis, complex variables Functional analysis and transforms

      Description

      Book Synopsis
      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.

      Table of Contents
      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.

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