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20112025
most citedOn the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target

3 citations · 3 across the 10 of their papers we have counts for

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Showing 2013Show all

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math.MG2013

Quasiregular mappings on sub-Riemannian manifolds

Katrin Fassler, Anton Lukyanenko, Kirsi Peltonen

We study mappings on sub-Riemannian manifolds which are quasi-regular with respect to the Carnot-Caratheodory distances and discuss several related notions. On H-type Carnot groups…

math.NT2013

Continued fractions on the Heisenberg group

Anton Lukyanenko, Joseph Vandehey

We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several…