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Harmonic and Geometric Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Harmonic and Geometric Analysis/ by Giovanna Citti, Loukas Grafakos, Carlos Pérez, Alessandro Sarti, Xiao Zhong.
作者:	Citti, Giovanna.
其他作者:	Grafakos, Loukas.
面頁冊數:	IX, 170 p. 19 illus., 12 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-3-0348-0408-0
ISBN:	9783034804080

Harmonic and Geometric Analysis
Citti, Giovanna.

Harmonic and Geometric Analysis[electronic resource] /by Giovanna Citti, Loukas Grafakos, Carlos Pérez, Alessandro Sarti, Xiao Zhong. - 1st ed. 2015. - IX, 170 p. 19 illus., 12 illus. in color.online resource. - Advanced Courses in Mathematics - CRM Barcelona,2297-0304. - Advanced Courses in Mathematics - CRM Barcelona,.

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.

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 differential 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.

ISBN: 9783034804080

Standard No.: 10.1007/978-3-0348-0408-0doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Harmonic and Geometric Analysis
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