Synopsis
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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Function Theory Interpolation and Corona Problems
Published by
Amer Mathematical Society, 2009
ISBN 10: 0821847341
ISBN 13: 9780821847343
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Hardcover
Seller: Revaluation Books, Exeter, United Kingdom
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Hardcover. Condition: Brand New. 203 pages. 10.25x7.25x0.75 inches. In Stock. Seller Inventory # __0821847341
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Function Theory: Interpolation and Corona Problems (Fields Institute Monographs)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847341
ISBN 13: 9780821847343
New
Hardcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. 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. Series: Fields Institute Monographs. Num Pages: 203 pages, 26 cm. BIC Classification: PBK. Category: (UP) Postgraduate, Research & Scholarly. Weight in Grams: 546. . 2009. Hardcover. . . . . Seller Inventory # V9780821847343
Stock Image
Function Theory: Interpolation and Corona Problems (Fields Institute Monographs)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847341
ISBN 13: 9780821847343
New
Hardcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. 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. Series: Fields Institute Monographs. Num Pages: 203 pages, 26 cm. BIC Classification: PBK. Category: (UP) Postgraduate, Research & Scholarly. Weight in Grams: 546. . 2009. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821847343