Linear and Complex Analysis Problem Book 3

Part 1
1994
ISBN: 978-3-540-57870-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1573, 498 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1590 g

Reihe: Lecture Notes in Mathematics

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!

Zielgruppe

Research

Autoren/Hrsg.

Nikolski, Nikolai K.

Havin, Victor P.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

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.