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Positive definite symmetric functions on linear spaces

✍ Scribed by J Kuelbs


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
605 KB
Volume
42
Category
Article
ISSN
0022-247X

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On Continuity and Decomposition of Posit
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Let G be a locally compact commutative group and let g and h be positive definite functions on G, which are not identically zero. We show that continuity of gh implies the existence of a character y of Gd (the discrete version of G) such that yg and y h are continuous. As corollary we get a special