TY - BOOK AU - Havin,Victor P. AU - Nikolski,Nikolai K. ED - SpringerLink (Online service) TI - Linear and Complex Analysis Problem Book 3: Part I T2 - Lecture Notes in Mathematics, SN - 9783540483670 AV - QA331-355 U1 - 515.9 23 PY - 1994/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Topological Groups KW - Functions of complex variables KW - Potential theory (Mathematics) KW - Distribution (Probability theory) KW - Functions of a Complex Variable KW - Topological Groups, Lie Groups KW - Potential Theory KW - Probability Theory and Stochastic Processes N1 - 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 N2 - 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! UR - http://dx.doi.org/10.1007/BFb0100201 ER -