Andrea Calogero, Rita Pini
Published 2013-10-09Version 1
In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.
Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group
On a conjectured inequality in convex analysis in the case of the unit ball of lp^n, 1<= p<= infinity
Analogues of theorems of Chernoff and Ingham on the Heisenberg group
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