Definition of symmetric spaces

Ben Zion A. Rubshtein, Genady Ya Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter we begin the study of symmetric spaces. The definition of the symmetric spaces is based on two important notions: the distribution function η|f| and the decreasing rearrangement f* of a function f on ℝ+. Most of the chapter is devoted to studying properties of η|f| and f*.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Pages5-15
Number of pages11
DOIs
StatePublished - 1 Jan 2016

Publication series

NameDevelopments in Mathematics
Volume45
ISSN (Print)1389-2177

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