Function Theory: Interpolation and Corona Problems (Fields Institute Monographs, 25, Band 25) - Hardcover

Sawyer, Eric T.

 
9780821847343: Function Theory: Interpolation and Corona Problems (Fields Institute Monographs, 25, Band 25)

Inhaltsangabe

Sawyer's (mathematics and statistics, McMaster U.) contains lecture notes delivered during a graduate course on function theory at the Fields Institute in March 2008. It takes readers from Lennart Carleson's first deep results on interpolation and corona problems in the unit disk to modern analogues in the disk and ball. Specific topics include Toeplitz and Hankel operators, Hilbert function spaces and Nevanlinna-Pick kernels, functional analysis, and function theory on the disk. While intended for relative novices in the field, the author notes that readers should be acquainted with basic and complex analysis and the theory of the Poisson integral in the unit disk. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

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