The applications to partial differential equations and to tomography are also indicated in the chapter. The theory of the Radon transform on Rsuggests the general problem of determining a function on a manifold by means of its integrals over certain submanifolds....
作者:Carlos A. Berenstein/Peter F. Ebenfelt/Simon Gindikin/Sigurdur Helgason/Alexander Tumanov 出版社:Springer 副标题:Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held ... 3-12, 1996 (Lecture Notes in Mathematics) ...
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Integral geometry, radon transforms, and complex analysis : S. Gindikin: Real Integral Geometry and Complex Analysis. In: Integral Geometry, Radon Transforms and Complex Analysis. (Ed.: E.C. Tarabusi et. al... EC Tarabusi,MA Picardello,G Zampieri - Springer, 被引量: 22发表: 0年 N-gr...
Rubin, B.: On the Funk–Radon–Helgason inversion method in integral geometry. Contemp. Math. 599 , 175–198 (2013) MathSciNet MATHB. Rubin, On the Funk-Radon-Helgason inversion method in integral geometry, Contemp. Math. 599 (2013), 175-198....
By analogy with the integral geometry on Grassmann manifolds and projective spaces, which was developed by many authors, this study deals with various natural questions in this context: specific properties of the discrete Radon d-plane transform R and its dual R*, inversion formula for R (see ...
Generalized incidence theorems, homogeneous forms, and sum-product estimates in finite fields Hart, A.Iosevich, Sums and products in finite fields: An integral geometric viewpoint, in: Radon Transforms, Geometry, and Wavelets, Contemp. Math. ... D Covert,D Hart,A Iosevich,... - 《European...
摘要: The authors present an explicit integral representation for (0,q)-forms on a q-linearly concave domain in CP n . When applied to -closed (0,q)-forms, it gives the inverse of the Radon-Penrose transform on -cohomology. A concrete important example is also presented....
Harmer, M.: Hermitian symplectic geometry and extension theory. J. Phys. A Math. Gen. 33(50), 91–93 (2000) Article MathSciNet Google Scholar Herglotz, G.: Über Potenzreihen mit positivem, reellem Teil im Einheitskreis. Leipz. Ber. 63, 501–511 (1911) Google Scholar Kac, I...
in the infinite geometry d the forms of the two and three point functions of scalar fields in a conformal field theory are determined exactly (up to normalisation) by the restrictions of conformal invariance. 1 Cardy has shown how to generalise the principle of conformal invariance to ...