Ellipsoidal and hyperbolic Radon transforms; microlocal properties and injectivity

• Published in: Journal of functional analysis Vol. 285; no. 8; p. 110056
• Main Authors: Webber, James W., Holman, Sean, Quinto, Eric Todd
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.10.2023
• Subjects: Ellipsoids and hyperboloids; Injectivity; Microlocal analysis; Radon transforms; Radon transforms; Ellipsoids and hyperboloids; Injectivity; Microlocal analysis

We present novel microlocal and injectivity analyses of ellipsoid and hyperboloid Radon transforms. We introduce a new Radon transform, R, which defines the integrals of a compactly supported L2 function, f, over ellipsoids and hyperboloids with centers on a smooth connected surface, S. Our transfor...