Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772242 | Journal of Functional Analysis | 2017 | 37 Pages |
Abstract
Let X=G/K be a symmetric space of the noncompact type. We prove that the mean value operator over translated K-orbits of a fixed point is surjective on the space of smooth functions on X if X 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jens Christensen, Fulton Gonzalez, Tomoyuki Kakehi,