Results 121 to 130 of about 46,892 (166)
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American Journal of Mathematics, 1991
In the hyperbolic disc (or, more generally, in real hyperbolic spaces) we consider the horocyclic Radon transform R and the geodesic Radon transform X. Composition with their respective adjoint operators yields two convolution operators on the disc (with respect to the hyperbolic measure).
Carlos A. Berenstein +3 more
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In the hyperbolic disc (or, more generally, in real hyperbolic spaces) we consider the horocyclic Radon transform R and the geodesic Radon transform X. Composition with their respective adjoint operators yields two convolution operators on the disc (with respect to the hyperbolic measure).
Carlos A. Berenstein +3 more
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The Geometry of a Multiple Integral
Journal of the London Mathematical Society, 1945Not ...
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A Duality in Integral Geometry
1994The inversion formulas in Theorems 3.1, 3.7, 3.8 and 6.2, Ch. I suggest the general problem of determining a function on a manifold by means of its integrals over certain submanifolds. This is essentially the title of Radon’s paper.
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Integral Geometry of Tame Sets
Geometriae Dedicata, 2000Curvature measures on certain tame Whitney-stratified sets are defined as coefficients of modified volume-growth polynomials. Stratified Morse theory yields alternative descriptions of these curvature measures for tame (possibly highly singular) sets. From this we obtain a generalized Gauss-Bonnet formula and various kinematic formulas.
Bröcker, Ludwig, Kuppe, Martin
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2003
Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns.
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Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns.
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Geometry and Dynamics of Integrable Systems
2016International ...
Bolsinov, Alexey +2 more
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Integral Geometry in Hermitian Spaces
American Journal of Mathematics, 1952where Skl O if k,7c/z and 1 if k7 = . Since the coefficients e;k are complex numbers, the group U depends upon (n + 1)2 real parameters. The geometry of Pn with the fundamental group U of transformations is called the Hermitian geometry (more precisely the elliptic hermitian geometry) and the space Pn itself is called an Hermitian space.
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Integral Geometry in Statistical Physics
International Journal of Modern Physics B, 1998The aim of this paper is to point out the importance of a morphological characterization of patterns in Statistical Physics. Integral geometry furnishes a suitable family of morphological descriptors, known as Minkowski functionals. They characterize not only the connectivity (topology) but also the content and shape (geometry) of spatial patterns ...
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Weighted Matrix Integral Geometry
Siberian Mathematical Journal, 2000\textit{R. G. Mukhometov} [Sov. Math., Dokl. 18, 27--31 (1977; Zbl 0372.53034) and Mat. Probl. Geofiz. 6, 2, 212-242 (1975; Zbl 0371.53051)] obtained uniqueness results and stability estimates for solutions to the following weighted integral geometry problem: Given a simply connected plane domain \(D\) with smooth boundary and a regular family of ...
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Abel Transform and Integral Geometry
2004In 1917 Radon published his famous paper [26] where he defined the operator which we call today the Radon transform. I already had a chance to write about this very significant paper [17]. Let us remind that Radon considers the problem of the reconstruction of a function of 2 variables f(x, y) through its integrals F(l) along all lines l.
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