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arXiv · 2102.13641

Distributional Point Values and Delta Sequences

Ricardo Estrada·Kevin Kellinsky-Gonzalez
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Abstract

Recently Sasane defined a notion of evaluating a distribution at a point using delta sequences. In this paper, we explore the relationship between generalizations of his definition and the standard definition of distributional point values. This allows us to obtain a description of distributional point values via delta sequences and a characterization of when a distribution is actually a regular distribution given by bounded function. We also give a characterization of limits in a continuous variable by the existence of the limits of certain sequences.

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Ricardo Estrada, Kevin Kellinsky-Gonzalez. 2021-02-26. Distributional Point Values and Delta Sequences. https://arxiv.org/abs/2102.13641

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