Surjectivity of Mean Value Operators on Noncompact Symmetric Spaces
Functional Analysis
2016-08-08 v1
Abstract
Let be a symmetric space of the non-compact type. We prove that the mean value operator over translated -orbits of a fixed point is surjective on the space of smooth functions on if is either complex or of rank one. For higher rank spaces it is shown that the same statement is true for points in an appropriate Weyl subchamber.
Keywords
Cite
@article{arxiv.1608.01869,
title = {Surjectivity of Mean Value Operators on Noncompact Symmetric Spaces},
author = {Jens Christensen and Fulton Gonzalez and Tomoyuki Kakehi},
journal= {arXiv preprint arXiv:1608.01869},
year = {2016}
}