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Banach spaces of analytic functions

✍ Scribed by Kenneth Hoffman


Publisher
Dover Publications
Year
2007
Tongue
English
Leaves
226
Category
Library

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✦ Synopsis


This classic of pure mathematics offers a rigorous investigation of Hardy spaces and the invariant subspace problem. Its highly readable treatment of complex functions, harmonic analysis, and functional analysis is suitable for advanced undergraduates and graduate students. The text features 100 challenging exercises. 1962 edition.

✦ Subjects


ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ°;Π€ΡƒΠ½ΠΊΡ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ·;


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This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transform