Analysis on Fock spaces

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 excell...

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Detalles Bibliográficos
Autor Principal: Zhu, Kehe, 1961-...., mathématicien
Formato: Livre numérique
Idioma:Anglais
Publicado: New York, NY : Springer US [20..].
Cham : Springer Nature
Edición:1st ed. 2012.
Series:Graduate Texts in Mathematics 263
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Analysis on Fock spaces, Kehe Zhu, 2012, New York [etc.], Springer, 1 vol. (X-344 p.), Graduate texts in mathematics, 978-1-441-98800-3
• Analysis on Fock Spaces, Texte imprimé, 9781441988027
• Analysis on Fock spaces, Kehe Zhu, 2012, New York [etc.], Springer, 1 vol. (X-344 p.), Graduate texts in mathematics, 978-1-441-98800-3
• Analysis on Fock spaces, Kehe Zhu, 2012, New York [etc.], Springer, 1 vol. (X-344 p.), Graduate texts in mathematics, 978-1-441-98800-3
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Résumé: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
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Archives Springer e-books (Licence nationale)
ISBN:9781441988010
ISSN:2197-5612
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