Browsing by Author "Samiou, Evangelia"
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Article
Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces
Bechtluft-Sachs, Stefan; Samiou, Evangelia (2019)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-Savart operator, i.e., a right inverse of the ...
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Article
A support theorem for the X-ray transform on manifolds with plane covers
Peyerimhoff, Norbert; Samiou, Evangelia (2019)This paper 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 nilpotent Lie groups have a support theorem. ...