<電子ブック>
Harmonic and Geometric Analysis

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 This book presents an expanded version of four series of lectures delivered by the authors at the CRM. Harmonic analysis, understood in a broad sense, has a very wide interplay with partial differenti...al equations and in particular with the theory of quasiconformal mappings and its applications. Some areas in which real analysis has been extremely influential are PDE's and geometric analysis. Their foundations and subsequent developments made extensive use of the Calderón–Zygmund theory, especially the Lp inequalities for Calderón–Zygmund operators (Beurling transform and Riesz transform, among others) and the theory of Muckenhoupt weights.  The first chapter is an application of harmonic analysis and the Heisenberg group to understanding human vision, while the second and third chapters cover some of the main topics on linear and multilinear harmonic analysis. The last serves as a comprehensive introduction to a deep result from De Giorgi, Moser and Nash on the regularity of elliptic partial differential equations in divergence form.続きを見る
目次 1 Models of the Visual Cortex in Lie Groups
2 Multilinear Calderón–Zygmund Singular Integrals
3 Singular Integrals and Weights
4 De Giorgi–Nash–Moser Theory.
冊子版へのリンク
本文を見る Full text available from Springer Mathematics and Statistics eBooks 2015 English/International

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28