Linear and Complex Analysis Problem Book 3

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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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!

• Banach Algebras
• Banach Space Theory
• Complex analysis
• Diferential Equations
• Harmonic Analysis
• Mathematical Physics
• Ooperator Theory
• Probability Theory
• calculus
• differential equation
• orthogonal polynomials

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