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Birkhäuser

Holomorphic Operator Functions of One Variable and Applications

Methods from Complex Analysis in Several Variables

  • Book
  • © 2009

Overview

Authors:
  1. Israel Gohberg

    1. Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

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    You can also search for this author in PubMed   Google Scholar

  2. Jürgen Leiterer

    1. Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Applications deal with interpolation, holomorphic families of subspaces and frames, holomorphic equivalence and diagonalization and Plemlj-Muschelishvili factorization
  • Exposition of the material is made in style and terms which are used in Complex analysis of several variables
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 192)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xx
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  2. Elementary properties of holomorphic functions

    Pages 1-28

  3. Solution of \( \bar \partial u = f \) and applications

    Pages 29-58

  4. Splitting and factorization with respect to a contour

    Pages 59-95

  5. The Rouché theorem for operator functions

    Pages 97-112

  6. Multiplicative cocycles (\( \mathcal{O}^G \)-cocycles)

    Pages 113-158

  7. Families of subspaces

    Pages 159-217

  8. Plemelj-Muschelishvili factorization

    Pages 219-267

  9. Wiener-Hopf operators, Toeplitz operators and factorization

    Pages 269-341

  10. Multiplicative cocycles with restrictions (\( \mathcal{F} \)-cocycles)

    Pages 343-367

  11. Generalized interpolation problems

    Pages 369-378

  12. Holomorphic equivalence, linearization and diagonalization

    Pages 379-411

  13. Back Matter

    Pages 413-422
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Keywords

Authors and Affiliations

  • Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  • Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany

    Jürgen Leiterer

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