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A decomposition of continuity

✍ Scribed by E. Hatir; T. Noiri; S. Yüksel


Publisher
Akadmiai Kiad
Year
1996
Tongue
English
Weight
262 KB
Volume
70
Category
Article
ISSN
1588-2632

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✦ Synopsis


A DECOMPOSITION OF CONTINUITY

E. HATIR (Konya), T. NOIRI (Yatsushiro) and S. Y[)KSEL (Konya)


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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