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Titlebook: Harmonic and Complex Analysis in Several Variables; Steven G. Krantz Book 2017 Springer International Publishing AG 2017 Finsler geometry.

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發(fā)表于 2025-3-21 18:33:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Harmonic and Complex Analysis in Several Variables
編輯Steven G. Krantz
視頻videohttp://file.papertrans.cn/425/424313/424313.mp4
概述Written by an established authority in harmonic analysis of several complex variables.Develops the harmonic analysis of several complex variables from the first principles.Includes copious examples, e
叢書(shū)名稱(chēng)Springer Monographs in Mathematics
圖書(shū)封面Titlebook: Harmonic and Complex Analysis in Several Variables; Steven G. Krantz Book 2017 Springer International Publishing AG 2017 Finsler geometry.
描述.Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research:? complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis.? The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles. ?The text includes copious examples, explanations, an exhaustive bibliography for further reading, and figures that illustrate the geometric nature of the subject. ?Each chapter ends with an exercise set.? Additionally, each chapter begins with a prologue, introducing the reader to the subject matter that follows; capsules presented in each section give perspective and a spirited launch to the segment;preludes help put ideas into context. Mathematicians and researchers in several applied disciplines will find the breadth and depth of the treatment of the subject highly useful..
出版日期Book 2017
關(guān)鍵詞Finsler geometry; Monge-Ampere equation; d-bar Neumann problem; harmonic analysis; several complex varia
版次1
doihttps://doi.org/10.1007/978-3-319-63231-5
isbn_softcover978-3-319-87503-3
isbn_ebook978-3-319-63231-5Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Introduction and Review, convergence results in the nature of Fatou theorems are proved..Part of the point here is for the student to see the nature of the onevariable techniques—techniques which do . generalize to several variables.
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Analysis on the Heisenberg Group,of the unit ball. All the key ideas about singular integrals, homogeneous dimension, the Calderón-Zygmund theory, and interpolation of operators come into play..The Littlewood-Paley theory plays a decisive role here, and the reader will find this to be a useful introduction to the topic.
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,More on the Bergman and Szeg? Kernels,gman kernel, and various forms of the Bergman space..There are both canonical reproducing kernels and constructible reproducing kernels. These objects are quite different, but there are important connections between the two theories. We touch on those connections.
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The Bergman Metric,ication, we give a new proof of the biholomorphic inequivalence of the ball and the polydisc..Certainly the Bergman metric was one of the very first K?hler metrics, and K?hler geometry is a very active area of modern mathematics. This chapter serves as an entree to these ideas.
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