Linear and Complex Analysis Problem Book 3
Linear and Complex Analysis Problem Book 3 Part I / [electronic resource] :
edited by Victor P. Havin, Nikolai K. Nikolski.
- XXII, 498 p. online resource.
- Lecture Notes in Mathematics, 1573 0075-8434 ; .
- Lecture Notes in Mathematics, 1573 .
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.
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!
9783540483670
10.1007/BFb0100201 doi
Functions of complex variables.
Topological Groups.
Potential theory (Mathematics).
Distribution (Probability theory.
Functions of a Complex Variable.
Topological Groups, Lie Groups.
Potential Theory.
Probability Theory and Stochastic Processes.
QA331-355
515.9
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.
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!
9783540483670
10.1007/BFb0100201 doi
Functions of complex variables.
Topological Groups.
Potential theory (Mathematics).
Distribution (Probability theory.
Functions of a Complex Variable.
Topological Groups, Lie Groups.
Potential Theory.
Probability Theory and Stochastic Processes.
QA331-355
515.9