Function Theory : Interpolation and Corona Problems

Name: Function Theory
Brand: American Mathematical Society
SKU: 9780821847343
Price: 12050 KES
Availability: OutOfStock
ISBN: 9780821847343

by Eric T. Sawyer

Book Details

Format Hardback

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 analysis Calculus 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.

Get Function Theory by Eric T. Sawyer at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by American Mathematical Society and it has 203 pages.