Distributional Point Values and Delta Sequences
Functional Analysis
2021-03-01 v1
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.
Keywords
Cite
@article{arxiv.2102.13641,
title = {Distributional Point Values and Delta Sequences},
author = {Ricardo Estrada and Kevin Kellinsky-Gonzalez},
journal= {arXiv preprint arXiv:2102.13641},
year = {2021}
}
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17 Pages