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Title: Bi-invariant functions on the group of transformations leaving a measure quasi-invariant

Journal Article · · Sbornik. Mathematics
 [1]
  1. Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow (Russian Federation)

Let Gms be the group of transformations of a Lebesgue space leaving the measure quasi-invariant. Let Ams be a subgroup of it consisting of transformations preserving the measure. We describe canonical forms of double cosets of Gms by the subgroup Ams and show that all continuous Ams-bi-invariant functions on Gms are functionals of the distribution of a Radon-Nikodym derivative. Bibliography: 14 titles.

OSTI ID:
22364896
Journal Information:
Sbornik. Mathematics, Vol. 205, Issue 9; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English