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Interpolation and Sampling in Analytic Tent Spaces

2021
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Release : 2021
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Book Synopsis Interpolation and Sampling in Analytic Tent Spaces by : Caleb Parks

Download or read book Interpolation and Sampling in Analytic Tent Spaces written by Caleb Parks. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide applications in harmonic analysis. Their analytic cousins have seen some applications involving the derivatives of Hardy space functions. Moreover, the tent spaces have been a recent focus of research. We introduce the concept of interpolating and sampling sequences for analytic tent spaces analogously to the same concepts for Bergman spaces. We then characterize such sequences in terms of Seip's upper and lower uniform density. We accomplish this by exploiting a kind of Mobius invariance for the tent spaces.

Interpolation and Sampling in Spaces of Analytic Functions

2004 Mathematics
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Release : 2004
Genre : Mathematics
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Book Rating : 548/5 ( reviews)

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Book Synopsis Interpolation and Sampling in Spaces of Analytic Functions by : Kristian Seip

Download or read book Interpolation and Sampling in Spaces of Analytic Functions written by Kristian Seip. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: 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 interpolation, Carleson's interpolation theorem, an

On Interpolation and Sampling in Hilbert Spaces of Analytic Functions

1994
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Release : 1994
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Book Synopsis On Interpolation and Sampling in Hilbert Spaces of Analytic Functions by : Bo Berndtsson

Download or read book On Interpolation and Sampling in Hilbert Spaces of Analytic Functions written by Bo Berndtsson. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation and Sampling on the Fock Space

2015 Analytic functions
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Release : 2015
Genre : Analytic functions
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Book Synopsis Interpolation and Sampling on the Fock Space by : Daniel F. Stevenson

Download or read book Interpolation and Sampling on the Fock Space written by Daniel F. Stevenson. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation, Identification, and Sampling

1997 Language Arts & Disciplines
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Release : 1997
Genre : Language Arts & Disciplines
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Book Rating : 247/5 ( reviews)

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Book Synopsis Interpolation, Identification, and Sampling by : Jonathan Richard Partington

Download or read book Interpolation, Identification, and Sampling written by Jonathan Richard Partington. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: With this text, Jonathan Partington explores the application of mathematical analysis to problems of interpolation and engineering, including systems identification, and signal processing and sampling.

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