Note on the Fenchel transform in the Heisenberg group

Details Note on the Fenchel transform in the Heisenberg group Note on the Fenchel transform in the Heisenberg group

2008-12-15

arxiv.org/abs/0812.2753v2

Mathematics

Functional Analysis

The paper appeared in Journal of Mathematical Analysis and Applications, volume 368, issue 1, August 2010, pages 69-79.

Scientific paper

Given a real-valued function defined on the Heisenberg group, we provide a definition of abstract convexity and Fenchel transform that takes into account the sub-Riemannian structure of the group. In our main result, we prove that, likewise the Euclidean case, a convex function can be characterized via its iterated Fenchel transform; the properties of the H-subdifferential play a crucial role.

Affiliated with

Also associated with

No associations

Rating

Note on the Fenchel transform in the Heisenberg group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Note on the Fenchel transform in the Heisenberg group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Note on the Fenchel transform in the Heisenberg group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348857