On conditionally positive definite dot product kernels
β Scribed by V. A. Menegatto; C. P. Oliveira; Ana P. Peron
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 204 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Continuous bizonal positive definite kernels on the spheres in β«ήβ¬ q are shown to be a series of disk polynomials with nonnegative coefficients. These kernels are the complex analogs of the so-called positive definite functions on real spheres intro-Ε½ . duced and characterized by I. J. Schoenberg 19
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