N. K. Nikolski (auth.), Victor P. Havin, Nikolai K. Nikolski (eds.)9780387578712, 0-387-57871-4, 0387578706
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! |
Table of contents :
Spectral analysis and synthesis….Pages 1-72
Approximation and capacities….Pages 73-176
Orthogonal polynomials….Pages 177-206
Uniqueness, moments, normality….Pages 207-258
Interpolation, bases, multipliers….Pages 259-294
Entire and subharmonic functions…..Pages 295-338
ℂ n ….Pages 339-382
Geometric function theory….Pages 383-422
Holomorphic dynamics….Pages 423-462
Miscellaneous problems….Pages 463-482 |
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