Results 31 to 40 of about 2,423 (75)

Linearly-ordered Radon-Nidkodým compact spaces [PDF]

Topology Appl. 154, No. 2, 404-409 (2007), 2009
We prove that every fragmentable linearly ordered compact space is almost totally disconnected. This combined with a result of Arvanitakis yields that every linearly ordered quasi Radon-Nikodym compact space is Radon-Nikodym, providing a new partial answer to the problem of continuous images of Radon-Nikodym compacta.
arxiv  

Radon risks [PDF]

Environmental Health Perspectives, 1996
K E, Warner, P N, Courant, D, Mendez
openaire   +2 more sources

On Radon Transforms on Tori [PDF]

Journal of Fourier Analysis and Applications, 2014
We show injectivity of the X-ray transform and the $d$-plane Radon transform for distributions on the $n$-torus, lowering the regularity assumption in the recent work by Abouelaz and Rouvi re. We also show solenoidal injectivity of the X-ray transform on the $n$-torus for tensor fields of any order, allowing the tensors to have distribution valued ...
openaire   +6 more sources

Extending the Support Theorem to Infinite Dimensions [PDF]

arXiv, 2009
The Radon transform is one of the most useful and applicable tools in functional analysis. First constructed by John Radon in 1917 it has now been adapted to several settings. One of the principle theorems involving the Radon transform is the Support Theorem.
arxiv  

On the Funk-Radon-Helgason Inversion Method in Integral Geometry [PDF]

arXiv, 2012
The paper deals with totally geodesic Radon transforms on constant curvature spaces. We study applicability of the historically the first Funk-Radon-Helgason method of mean value operators to reconstruction of continuous and $L^p$ functions from their Radon transforms.
arxiv  

Radon Transform for Sheaves [PDF]

arXiv, 2017
We define the Radon transform functor for sheaves and prove that it is an equivalence after suitable microlocal localizations. As a result, the sheaf category associated to a Legendrian is invariant under the Radon transform. We also manage to place the Radon transform and other transforms in microlocal sheaf theory altogether in a diagram.
arxiv  

Radon numbers and the fractional Helly theorem [PDF]

arXiv, 2019
A basic measure of the combinatorial complexity of a convexity space is its Radon number. In this paper we show a fractional Helly theorem for convexity spaces with a bounded Radon number, answering a question of Kalai. As a consequence we also get a weak epsilon-net theorem for convexity spaces with a bounded Radon number.
arxiv  

Range Description for an Attenuated Conical Radon Transform with Fixed Central Axis and Opening Angle [PDF]

arXiv
The conical Radon transform is an integral transform that maps a given function $f$ to its integral over a conical surface. In this study, we invesgate the conical Radon transform with a fixed central axis and opening angle, considering the attenuation of radiation within the transform.
arxiv  

Inversion of generalized Radon transform over symmetric $m$-tensor fields in $\mathbb{R}^n$ [PDF]

arXiv
In this work, we study a set of generalized Radon transforms over symmetric $m$-tensor fields in $\mathbb{R}^n$. The longitudinal/transversal Radon transform and corresponding weighted integral transforms for symmetric $m$-tensor field are introduced. We give the kernel descriptions for the longitudinal and transversal Radon transform. Further, we also
arxiv  

Radon Concentration Measurement with a High-Sensitivity Radon Detector at the Yemilab [PDF]

arXiv
The radiation emitted from radon is a critical background in rare event search experiments conducted at the Yemi Underground Laboratory (Yemilab) in Jeongseon, Korea. A Radon Reduction System(RRS) has been developed and installed in Yemilab to reduce radon concentration in the air.
arxiv