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Interpolation and Sampling in Spaces of Analytic Functions Book

Interpolation and Sampling in Spaces of Analytic Functions
Interpolation and Sampling in Spaces of Analytic Functions, The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theor, Interpolation and Sampling in Spaces of Analytic Functions has a rating of 4.5 stars
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Interpolation and Sampling in Spaces of Analytic Functions, The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theor, Interpolation and Sampling in Spaces of Analytic Functions
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  • Interpolation and Sampling in Spaces of Analytic Functions
  • Written by author Kristian Seip
  • Published by American Mathematical Society, March 2004
  • The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theor
  • Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interp
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Authors

Acknowledgements
Introduction
Ch. 1Carleson's interpolation theorem1
Ch. 2Interpolating sequences and the Pick property15
Ch. 3Interpolation and sampling in Bergman spaces41
Ch. 4Interpolation in the Bloch space63
Ch. 5Interpolation, sampling, and Toeplitz operators79
Ch. 6Interpolation and sampling in Paley-Wiener spaces95
Bibliography125
Index135


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Interpolation and Sampling in Spaces of Analytic Functions, The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theor, Interpolation and Sampling in Spaces of Analytic Functions

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Interpolation and Sampling in Spaces of Analytic Functions, The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theor, Interpolation and Sampling in Spaces of Analytic Functions

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Interpolation and Sampling in Spaces of Analytic Functions, The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theor, Interpolation and Sampling in Spaces of Analytic Functions

Interpolation and Sampling in Spaces of Analytic Functions

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