03047nam a22005175i 4500
978-3-0348-0408-0
DE-He213
20180115171553.0
cr nn 008mamaa
150428s2015 sz | s |||| 0|eng d
9783034804080
978-3-0348-0408-0
10.1007/978-3-0348-0408-0
doi
QA299.6-433
PBK
bicssc
MAT034000
bisacsh
515
23
Citti, Giovanna.
author.
Harmonic and Geometric Analysis
[electronic resource] /
by Giovanna Citti, Loukas Grafakos, Carlos Pérez, Alessandro Sarti, Xiao Zhong.
Basel :
Springer Basel :
Imprint: Birkhäuser,
2015.
IX, 170 p. 19 illus., 12 illus. in color.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Advanced Courses in Mathematics - CRM Barcelona,
2297-0304
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.
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Partial differential equations.
Mathematics.
Analysis.
Partial Differential Equations.
Grafakos, Loukas.
author.
Pérez, Carlos.
author.
Sarti, Alessandro.
author.
Zhong, Xiao.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783034804073
Advanced Courses in Mathematics - CRM Barcelona,
2297-0304
http://dx.doi.org/10.1007/978-3-0348-0408-0
ZDB-2-SMA
371134
371134
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK