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Linear and Complex Analysis Problem Book 3

Part 1

  • Book
  • © 1994

Overview

Editors:
  1. Victor P. Havin
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    You can also search for this editor in PubMed   Google Scholar

  2. Nikolai K. Nikolski
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1573)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XXII
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  2. Banach spaces

    • S. V. Kisliakov
    Pages 1-50

  3. Banach algebras

    • H. G. Dales, A. Ya. Helemskii
    Pages 51-154

  4. Probabilistic problems

    • Jean-Pierre Kahane
    Pages 155-178

  5. Holomorphic operator functions

    • I. Gohberg, M. A. Kaashoek
    Pages 179-210

  6. General operator theory

    • Peter Rosenthal
    Pages 211-258

  7. Perturbation theory scattering theory

    • M. Sh. Birman
    Pages 259-292

  8. Hankel and Toeplitz operators

    • Jaak Peetre
    Pages 293-358

  9. Close to normal operators

    • John B. Conway
    Pages 359-388

  10. Functional models

    • N. K. Nikolskii, V. I. Vasyunin
    Pages 389-408

  11. Singular integrals, BMO, Hp

    • E. M. Dyn'kin, S. V. Kisliakov
    Pages 409-464

  12. Back Matter

    Pages 465-495
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Keywords

About this book

The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and methodological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!

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