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Given a Polish space E and a consistent exchangeable family of all k-point motions in E, a universal framework on related measure-valued flow (MVF) describing how probabilities evolve under the consistent exchangeable family is given. And when E=R
1 and 1-point motion is a 1-dimensional...
The general ideal in this paper is to study a differential calculus for multivariable functions, directional ∇-derivative and curves of parametric equations on n-dimensional time scales.
Iserles et al. (J. Approx. Theory 65:151–175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal polynomials satisfying a particular type of recurrence relation. Groenevelt...
In distribution theory the pullback of a general distribution by a C
∞-function is well-defined whenever the normal bundle of the C
∞-function does not intersect the wave front set of the distribution. However, the Colombeau theory of generalized functions allows for a pullback by an arbitrary...
The hypergeometric function type I distribution with the pdf proportional to x
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