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
✦ LIBER ✦
Conditionally Positive Definite Functions and Their Application to Multivariate Interpolations
✍ Scribed by X.P. Sun
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 685 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Addendum to the Paper „On the Measurabil
✍
Zoltán Sasvári
📂
Article
📅
1987
🏛
John Wiley and Sons
🌐
English
⚖ 116 KB
👁 1 views
A Separation Property of Positive Defini
✍
Eberhard Kaniuth; Anthony T. Lau
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 174 KB
For a closed subgroup H of a locally compact group G consider the property that the continuous positive definite functions on G which are identically one on H separate points in G"H from points in H. We prove a structure theorem for almost connected groups having this separation property for every c