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We define a notion of Radon Transform for data in an n by n grid. It is based on summation along lines of absolute slope less than 1 (as a function either of x or of y), with values at non-Cart...
THE RADON TRANSFORM ON Z     Radon  Z transform       2015/7/14
THE RADON TRANSFORM ON Z.
Generalized Radon transforms, such as the hyperbolic Radon transform, cannot be implemented as efficiently in the frequency domain as convolutions, thus limiting their use in seismic data processing. ...
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
The purpose of this announcement is to describe a development given in a series of forthcoming papers by the authors that concern operators of the form f 7→ (x) Z f ( t (x))K (t) dt.
We show that the complex Radon transform realizes an isomorphism between the space of residual ¯ @-cohomologies of a locally complete intersection subvariety in a linearly concave domain of CPn ...
We show that the use of Brylinski's Radon transform elucidates some points of the Green-Griffiths approach to the Hodge conjecture.
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...
当广义Radon变换限制在带权的平方可积函数空间时, 该文构造了一类广义 Radon 变换的奇异值分解,给出了它们的逆变换的一些结果, 从而导出了广义 Radon 变换的反演公式以及值域的特征.
该文得到具有一维小波Radon变换的小波逆公式,从该逆公式导出Radon变换的卷积回投射法建立了Radon变换小波逆公式与二维Radon变换卷积-回投射方法之间的渐近关系.
讨论了集值测度存在弱Radon-Nikodym导数的充要条件;对弱紧凸集值随机变量 给出了其条件期望存在时的一个特征.
In this paper, the wavelet inverse formula of Radon transform is obtained with onedimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. ...
本文考虑联系 R~n 中 Radon 测度的极大算子的加权不等式,然后应用所得的结果得到沿复平面上正则曲线的极大算子及奇异积分的加权模不等式.

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