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Decomposition of positive definite functions defined on a neighbourhood of the identity

✍ Scribed by Zoltán Sasvári

Publisher
Springer Vienna
Year
1987
Tongue
English
Weight
429 KB
Volume
104
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES

On Continuity and Decomposition of Posit
On Continuity and Decomposition of Positive Definite Functions
✍ 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

Addendum to the Paper „On the Measurabil
Addendum to the Paper „On the Measurability of Positive Definite and Conditionally Positive Definite Functions”
✍ Zoltán Sasvári 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB 👁 1 views

Let f be a positive definite function on a locally compact abelian group G. In [3] we showed that measurability of 1 on an open neighbourhood of the zero implies measurability of f on G. As a main tool we used a result about the support of f [3, Th. I]. The aim of this note is to simplify the proof