Analysis on Fock Spaces

Kehe Zhu

ISBN 10: 1441988009 / ISBN 13: 9781441988003

Published by Springer US, Springer New York Mai 2012, 2012

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 356 pp. Englisch.

Seller Inventory # 9781441988003

Bibliographic Details

• Title: Analysis on Fock Spaces
• Publisher: Springer US, Springer New York Mai 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 1441988009
• ISBN 13: 9781441988003
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 23D millimeters 241 millimeters width by 160 millimeters height by 23 millimeters depth
• Weight: 699 grams

About this title

Synopsis

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.

About the Author

Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His research areas include operators on holomorphic function spaces, complex analysis, and operator theory and operator algebras.