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On positive definite measures

✍ Scribed by Ya§ar Ataman

Publisher
Springer Vienna
Year
1975
Tongue
English
Weight
335 KB
Volume
79
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES

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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

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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-Ž . duced and characterized by I. J. Schoenberg 19