Function Theory : Interpolation and Corona Problems
Book Details
Format
Hardback or Cased Book
Book Series
Fields Institute Monographs
ISBN-10
0821847341
ISBN-13
9780821847343
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Feb 28th, 2009
Print length
203 Pages
Weight
550 grams
Product Classification:
Calculus & mathematical analysisCalculus and mathematical analysis
Ksh 12,050.00
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Presents interpolation and corona problems in the unit disk and modern analogues in the disk and ball. This book includes techniques from classical analysis and operator theory such as duality, Blaschke product constructions, purely Hilbert space arguments, bounded mean oscillation, best approximation, and boundedness of the Beurling transform.
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.
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