Title | Linear and Complex Analysis Problem Book 3 [electronic resource] : Part I / edited by Victor P. Havin, Nikolai K. Nikolski |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1994 |

Connect to | http://dx.doi.org/10.1007/BFb0100201 |

Descript | XXII, 498 p. online resource |

SUMMARY

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!

CONTENT

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

Mathematics
Topological groups
Lie groups
Functions of complex variables
Potential theory (Mathematics)
Probabilities
Mathematics
Functions of a Complex Variable
Topological Groups Lie Groups
Potential Theory
Probability Theory and Stochastic Processes