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ISSN 1088-6850(e) ISSN 0002-9947(p)

Extension and separation properties of positive definite functions on locally compact groups

Author(s): Eberhard Kaniuth; Anthony T. Lau
Journal: Trans. Amer. Math. Soc. 359 (2007), 447-463.
MSC (2000): Primary 43A35; Secondary 22E25
Posted: August 24, 2006
MathSciNet review: 2247899
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Continuing earlier work, we investigate two related aspects of the set of continuous positive definite functions on a locally compact group . The first one is the problem of when, for a closed subgroup of , every function in extends to some function in . The second one is the question whether elements in $G \setminus H$ can be separated from by functions in which are identically one on .

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