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On conditionally positive definite dot product kernels

✍ 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

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πŸ“œ SIMILAR VOLUMES


Positive Definite Kernels on Complex Sph
✍ V.A Menegatto; A.P Peron πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 111 KB

Continuous bizonal positive definite kernels on the spheres in ‫ރ‬ 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

Addendum to the Paper β€žOn the Measurabil
✍ ZoltΓ‘n SasvΓ‘ri πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 116 KB πŸ‘ 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