Linear and complex analysis problem book 3

著者

書誌事項

Linear and complex analysis problem book 3

V.P. Havin, N.K. Nikolski, (eds.)

（Lecture notes in mathematics, 1573-1574）

Springer-Verlag, c1994

  • pt. 1 : us
  • pt. 1 : gw
  • pt. 2 : us
  • pt. 2 : gw

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注記

Includes bibliographical references and subject and author indexes

内容説明・目次

巻冊次

pt. 1 : gw ISBN 9783540578703

内容説明

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!

目次

Banach spaces.- Banach algebras.- Probabilistic problems.- Holomorphic operator functions.- General operator theory.- Perturbation theory scattering theory.- Hankel and Toeplitz operators.- Close to normal operators.- Functional models.- Singular integrals, BMO, Hp.
巻冊次

pt. 2 : gw ISBN 9783540578710

内容説明

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!

目次

Spectral analysis and synthesis.- Approximation and capacities.- Orthogonal polynomials.- Uniqueness, moments, normality.- Interpolation, bases, multipliers.- Entire and subharmonic functions..- ?n.- Geometric function theory.- Holomorphic dynamics.- Miscellaneous problems.

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