@inbook{4f1cecfd72ac4b47b0423a72dfe8ee87,

title = "Definition of symmetric spaces",

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*.",

author = "Rubshtein, {Ben Zion A.} and Grabarnik, {Genady Ya} and Muratov, {Mustafa A.} and Pashkova, {Yulia S.}",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",

year = "2016",

month = jan,

day = "1",

doi = "10.1007/978-3-319-42758-4_1",

language = "English",

series = "Developments in Mathematics",

publisher = "Springer New York LLC",

pages = "5--15",

booktitle = "Developments in Mathematics",

}