Interpolation and Sampling on the Fock Space PDF Download
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Author: Daniel F. Stevenson
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 41
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Author: Daniel F. Stevenson
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 41
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Book Description
Author: Kristian Seip
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author: Kristian Seip
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
Author: Kristian Seip
Publisher: American Mathematical Soc.
ISBN: 9780821882900
Category : Mathematics
Languages : en
Pages : 156
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Book Description
"The book is essentially self-contained. There is an underlying assumption that the reader has a basic knowledge of complex and functional analysis. Beyond that, the reader should have some familiarity with the basic of H[superscript p] theory and BMO."--BOOK JACKET.
Author: Kehe Zhu
Publisher: Springer Science & Business Media
ISBN: 1441988017
Category : Mathematics
Languages : en
Pages : 350
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Book Description
Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms “Hardy spaces” and “Bergman spaces” are by now standard and well established. But the term “Fock spaces” is a different story. Numerous excellent books now exist on the subject of Hardy spaces. Several books about Bergman spaces, including some of the author’s, have also appeared in the past few decades. But there has been no book on the market concerning the Fock spaces. The purpose of this book is to fill that void, especially when many results in the subject are complete by now. This book presents important results and techniques summarized in one place, so that new comers, especially graduate students, have a convenient reference to the subject. This book contains proofs that are new and simpler than the existing ones in the literature. In particular, the book avoids the use of the Heisenberg group, the Fourier transform, and the heat equation. This helps to keep the prerequisites to a minimum. A standard graduate course in each of real analysis, complex analysis, and functional analysis should be sufficient preparation for the reader.
Author: Kristian Seip
Publisher: American Mathematical Soc.
ISBN: 0821835548
Category : Mathematics
Languages : en
Pages : 153
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Book Description
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
Author: Caleb Parks
Publisher:
ISBN:
Category :
Languages : en
Pages : 154
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Book Description
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.
Author: Jennifer K. Smith
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 112
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Author: Yan-chun James Tung
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
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Book Description
Author: Phuc K. Nguyen
Publisher:
ISBN:
Category : Bergman spaces
Languages : en
Pages : 72
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Book Description
