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Linear and Complex Analysis Problem Book 3

Part 2

  • Book
  • © 1994

Overview

Editors:
  1. Victor P. Havin
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  2. Nikolai K. Nikolski
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1574)

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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 metho- dological 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!

Keywords

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XXII
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  2. Spectral analysis and synthesis

    • N. K. Nikolski
    Pages 1-72

  3. Approximation and capacities

    • J. Brennan, A. Volberg, V. P. Havin
    Pages 73-176

  4. Orthogonal polynomials

    • Paul Nevai
    Pages 177-206

  5. Uniqueness, moments, normality

    • J. Brennan, A. Volberg, V. P. Havin
    Pages 207-258

  6. Interpolation, bases, multipliers

    • N. K. Nikolski
    Pages 259-294

  7. Entire and subharmonic functions.

    • A. A. Goldberg, B. Ya. Levin, I. V. Ostrovskii
    Pages 295-338

  8. ℂn

    • L. A. Aizenberg
    Pages 339-382

  9. Geometric function theory

    • P. Duren
    Pages 383-422

  10. Holomorphic dynamics

    • B. Bielefeld, M. Lyubich
    Pages 423-462

  11. Miscellaneous problems

    • Victor P. Havin, Nikolai K. Nikolski
    Pages 463-482

  12. Back Matter

    Pages 483-507
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