Limiting values of rational functions at the points of discontinuity

2000/07/12 by Yaacov Tzeitlin, Tzeitlin, Yaacov
Mathematics · #26C15 #41A20 #46J10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:26C15 #msc:41A20 #msc:46J10

paper · pdf · doi:10.48550/arxiv.math/0007075

12 pages

arxiv created 2000/07/12 · arxiv updated 2009/11/30

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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