The radon transform on zoll surfaces
نویسندگان
چکیده
منابع مشابه
Spectral Statistics on Zoll Surfaces
The subject of this article is a family of (partly conjectural) spectral invariants of a Laplace operator with a discrete spectrum 2j known as its k-level correlation functions Pk and level spacings distribution v. The 2-level (or pair) correlation function P2, for instance, measures the asymptotic number of spacings 2* 2* between normalized eigenvalues 2* as the eigenvalues tend to infinity. T...
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We classify compact surfaces with torsion-free affine connections for which every geodesic is a simple closed curve. In the process, we obtain completely new proofs of all the major results [4] concerning the Riemannian case. In contrast to previous work, our approach is twistor-theoretic, and depends fundamentally on the fact that, up to biholomorphism, there is only one complex structure on CP2.
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where S + x denotes the setf-s + x i s e S ) . Thus, the Radon transform can be thought of as a way of replacing/by a "smeared out" version of /. This form of the transform represents a simplified model of the kind of averaging which occurs in certain applied settings, such as various types of tomography and recent statistical averaging techniques. A fundamental question which arises in connect...
متن کاملThe Radon Transform on Zn
The Radon transform on Zn averages a function over its values on a translate of a fixed subset S in Zn. We discuss invertibility conditions and computer inverse formulas based on the Moore-Penrose inverse and on linear algorithms. We expect the results to be of use in directional and toroidal time series.
متن کاملThe Radon Transform on Z
The Radon transform on Zn averages a function over its values on a translate of a fixed subset S in Zn. We discuss invertibility conditions and computer inverse formulas based on the Moore–Penrose inverse and on linear algorithms. We expect the results to be of use in directional and toroidal time series.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1976
ISSN: 0001-8708
DOI: 10.1016/0001-8708(76)90139-0