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On real functions of bounded variation and an application to geometric function theory
1985Let \(\varphi\) be a continuous real-valued function on \([0,1]\) with total variation at most \(m+n\) and with normalizations \(\varphi (0)=0\) and \(\varphi (1)=m-n\) for some positive integers \(m\) and \(n\). Then there exist numbers \(c_ j,d_ k\in (0,1]\) and \(\mu\in [-\frac12,\frac12]\) such that \[ | \varphi (x)- \sum^{m-1}_{j=1}g(x-c_ j)+\sum^{
Ruscheweyh, Stephan, Schwittek, P.
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Geometric Theory of Generalized Functions with Applications to General Relativity
2001Steinbauer, Roland +3 more
openaire +2 more sources
Colloquium : Geometric phases of light: Insights from fiber bundle theory
Reviews of Modern Physics, 2022Sonja Franke-Arnold +2 more
exaly
The entry–exit function and geometric singular perturbation theory
Journal of Differential Equations, 2016Stephen Schecter, Peter De Maesschalck
exaly
Quantum geometric contributions to the BKT transition: Beyond mean field theory
Physical Review B, 2020Gaurav Chaudhary +2 more
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Investigations of V. A. Zmorovich in the area of geometric function theory
Ukrainian Mathematical Journal, 1980Mitropol'Skii Yu A +2 more
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