Almost periodic measure-valued functions
Journal Article
·
· Sbornik. Mathematics
- Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences, Izhevsk (Russian Federation)
Weakly almost periodic measure-valued functions R contains t{yields}{mu}[ {center_dot} ;t] taking values in the space M(U) of Borel measures of variable sign in a complete separable metric space U are considered. A norm ||.||{sub w} introduced in the space M(U) defines a metric on the set of probability Borel measures that is equivalent to the Levy-Prokhorov metric. A connection between the almost periodicity of a measure-valued function t{yields}{mu}[.;t] element of (M(U),||.||{sub w}) and its weak almost periodicity (both in the sense of Bohr and in the sense of Stepanov) is established.
- OSTI ID:
- 21202978
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 12 Vol. 191; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
ALMOST PERIODICITY AND THE QUANTAL H THEOREM
Almost normed spaces of functions with polynomial asymptotic behaviour
Transformation of measures in infinite-dimensional spaces by the flow induced by a stochastic differential equation
Journal Article
·
Tue Feb 28 23:00:00 EST 1961
· J. Math. Phys.
·
OSTI ID:4050323
Almost normed spaces of functions with polynomial asymptotic behaviour
Journal Article
·
Thu Feb 27 23:00:00 EST 2003
· Sbornik. Mathematics
·
OSTI ID:21208298
Transformation of measures in infinite-dimensional spaces by the flow induced by a stochastic differential equation
Journal Article
·
Wed Apr 30 00:00:00 EDT 2003
· Sbornik. Mathematics
·
OSTI ID:21208310