TY  - BOOK
AU  - Zhu,Kehe
ED  - SpringerLink (Online service)
TI  - Analysis on Fock Spaces
T2  - Graduate Texts in Mathematics,
SN  - 9781441988010
AV  - QA331-355 
U1  - 515.9 23
PY  - 2012///
CY  - Boston, MA
PB  - Springer US, Imprint: Springer
KW  - Mathematics
KW  - Functional analysis
KW  - Functions of complex variables
KW  - Operator theory
KW  - Functions of a Complex Variable
KW  - Operator Theory
KW  - Several Complex Variables and Analytic Spaces
KW  - Functional Analysis
N1  - Preface -- Chapter 1. Preliminaries -- Chapter 2. Fock Spaces -- Chapter 3. The Berezin Transform and BMO -- Chapter 4. Interpolating and Sampling Sequences -- Chapter 5. Zero Sets for Fock Spaces -- Chapter 6. Toeplitz Operators -- Chapter 7. Small Hankel Operators -- Chapter 8. Hankel Operators -- References -- Index
N2  - 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 newcomers, 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
UR  - http://dx.doi.org/10.1007/978-1-4419-8801-0
ER  -