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Analysis on Fock Spaces - Kehe Zhu

Analysis on Fock Spaces

By: Kehe Zhu

eText | 26 May 2012

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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 vacuum. There seems to be an honest need for such a book, especially when many results are by now complete. 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 prerequites to a minimum. A standard graduate course in each of real analysis, complex analysis, and functional analysis should be sufficient preparation for the reader.
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Non-FictionMathematicsCalculus & Mathematical AnalysisFunctional Analysis & TransformsComplex Analysis

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