000 03216nam a22005055i 4500
001 978-1-4419-8801-0
003 DE-He213
005 20140220083233.0
007 cr nn 008mamaa
008 120525s2012 xxu| s |||| 0|eng d
020 _a9781441988010
_9978-1-4419-8801-0
024 7 _a10.1007/978-1-4419-8801-0
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.9
_223
100 1 _aZhu, Kehe.
_eauthor.
245 1 0 _aAnalysis on Fock Spaces
_h[electronic resource] /
_cby Kehe Zhu.
264 1 _aBoston, MA :
_bSpringer US :
_bImprint: Springer,
_c2012.
300 _aX, 344 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v263
505 0 _aPreface -- 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.
520 _aSeveral 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.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aFunctions of complex variables.
650 0 _aOperator theory.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aOperator Theory.
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
650 2 4 _aFunctional Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441988003
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v263
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-8801-0
912 _aZDB-2-SMA
999 _c100564
_d100564