
Function Theory
Interpolation and Corona Problems
Eric T. Sawyer(Author)
American Mathematical Society (Publisher)
Will be published approx. on 28. February 2009
Book
Hardback
203 pages
978-0-8218-4734-3 (ISBN)
Description
These lecture notes take the reader from Lennart Carleson's first deep results on interpolation and corona problems in the unit disk to modern analogues in the disk and ball. The emphasis is on introducing the diverse array of techniques needed to attack these problems rather than producing an encyclopedic summary of achievements. Techniques from classical analysis and operator theory include duality, Blaschke product constructions, purely Hilbert space arguments, bounded mean oscillation, best approximation, boundedness of the Beurling transform, the Koszul complex, use of trees, the complete Pick property, and the Toeplitz corona theorem. An extensive appendix on background material in functional analysis and function theory on the disk is included for the reader's convenience.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Weight
550 gr
ISBN-13
978-0-8218-4734-3 (9780821847343)
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Schweitzer Classification