
It is shown that for a positive definite continuous function f(x) on ℝ^n the followings are equivalent: Moreover, an analogue for the analyticity is also given as a corollary.
Topological linear spaces of test functions, distributions and ultradistributions, positive definite continuous function, quasianalyticity, Positive definite functions in one variable harmonic analysis, \(C^\infty\)-functions, quasi-analytic functions
Topological linear spaces of test functions, distributions and ultradistributions, positive definite continuous function, quasianalyticity, Positive definite functions in one variable harmonic analysis, \(C^\infty\)-functions, quasi-analytic functions
| selected citations These citations are derived from selected sources. 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). | 2 | |
| 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 |
