Limiting values of rational functions at the points of discontinuity
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
Abstract
In the present article we describe a class of algebraic curves on which rational functions of two arguments may reach all their possible limiting values. We also solve a similar question for functions that can be represented as a uniform limit of a sequence of bounded rational functions.
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Cite
@article{arxiv.math/0007075,
title = {Limiting values of rational functions at the points of discontinuity},
author = {Yaacov Tzeitlin},
journal= {arXiv preprint arXiv:math/0007075},
year = {2007}
}
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12 pages