24 citations · 31 across the 9 of their papers we have counts for
9 papers
Linking Integrals on Rank-1-Symmetric Spaces
Stefan Bechtluft-Sachs, Evangelia Samiou
In symmetric spaces of rank one we obtain a right inverse of the Cartan differential on exact differential forms as an integral operator. As a corollary we extend Gauss linking int…
Green's functions, Biot-Savart Operators and Linking Numbers on Negatively Curved Symmetric Spaces
Stefan Bechtluft-Sachs, Evangelia Samiou
We construct radial fundamental solutions for the differential form Laplacian on negatively curved symmetric spaces. At least one of these Green's functions also yields a Biot-Sava…
A support theorem for the X-ray transform on manifolds with plane covers
Norbert Peyerimhoff, Evangelia Samiou
This article is concerned with support theorems of the X-ray transform on non-compact manifolds with conjugate points. In particular, we prove that all simply connected 2-step nilp…
The X-ray transform on 2-step nilpotent Lie groups of higher rank
Norbert Peyerimhoff, Evangelia Samiou
We prove injectivity and a support theorem for the X-ray transform on -step nilpotent Lie groups with many totally geodesic -dimensional flats. The result follows from a gene…
Integral geometric properties of non-compact harmonic spaces
Norbert Peyerimhoff, Evangelia Samiou
We study integral geometric properties of non-compact harmonic spaces.
Spherical Spectral Synthesis and Two-Radius Theorems on Damek-Ricci Spaces
Norbert Peyerimhoff, Evangelia Samiou
We prove that spherical spectral analysis and synthesis hold in Damek-Ricci spaces and derive two-radius theorems.