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On( mathcal{C} )*-sets and decompositions of continuous andηζ-continuous functions

✍ Scribed by E. Ekici

Publisher
Akadmiai Kiad
Year
2007
Tongue
English
Weight
366 KB
Volume
117
Category
Article
ISSN
1588-2632

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On Continuity and Decomposition of Posit
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✍ Zoltán Sasvári 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 329 KB

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