
Let f be a positive definite function on a locally compact abelian group G. In this paper we show that measurability of f on an open neighbourhood of the zero implies measurability of f on G. The same result holds for conditionally positive definite functions.
measurability, positive definite function, Positive definite functions on groups, semigroups, etc., locally compact abelian group, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
measurability, positive definite function, Positive definite functions on groups, semigroups, etc., locally compact abelian group, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
| citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
