ENGLISH

Differential Analysis in Infinite Dimensional Spaces

By Kondagunta Sundaresan , Srinivasa Swaminathan (ed.)

Book information

Publisher
Amer Mathematical Society
Year
1986
ISBN
0-8218-5059-8, 978-0-8218-5059-6, 53-1986-514-7
LCC
QA613 .D53 1986
Language
english
Format
DJVU
Filesize
1 MB (1456945 bytes)
Series
Contemporary Mathematics 054
Pages
138\138
Library
kolxoz
DPI
600
Time added
2014-09-14 19:43:02

Description

This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differentiable functions on the spaces. The wide range of topics covered also includes gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities, and actions on infinite groups. Addressed to both the expert and the advanced graduate student, the book requires a basic knowledge of functional analysis and differential topology

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