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The Radon transform on the Heisenberg group and the transversal Radon transform
Journal of Functional Analysis, 2012 The notion of the Radon transform on the Heisenberg group was introduced by R. Strichartz and inspired by D. Geller and E.M. Stein's related work. The more general transversal Radon transform integrates functions on the m-dimensional real Euclidean space over hyperplanes meeting the last coordinate axis.
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Gegenbauer Transforms via the Radon Transform [PDF]
SIAM Journal on Mathematical Analysis, 1979 Use is made of the Radon transform on even dimensional spaces and Gegenbauer functions of the second kind to obtain a general Gegenbauer transform pair. In the two-dimensional limit the pair reduces to a Chebyshev transform pair.
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Injectivity of Rotation invariant windowed Radon transforms. [PDF]
, 2005 International audienceWe consider rotation invariant windowed Radon transforms that integrate a function over hyperplanes by using a radial weight (called window). T.
Hermine Biermé, Biermé, Hermine
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Identities among Euclidean Sonar and Radon transforms
, 2009 We establish new relations which connect Euclidean Sonar transforms (integrals taken over spheres with centers in a hyperplane) with classical Radon transforms.
Feldman, David, Beltukov, Aleksei
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Identifying rotational radon transforms [PDF]
Periodica Mathematica Hungarica, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Long-time coherent integration for high dynamic DSSS signal
The Journal of Engineering, 2019 A novel coherent integration method for high dynamics direct sequences spread spectrum (DSSS) signal is presented. The presented method is based on adjacent cross-correlation function (ACCF) and Lv's distribution (LVD). ACCF is firstly used to compensate
Fengyu Wang +4 more
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Discrete Applied Mathematics, 2001 The author studies properties of group codes, namely generalized weights and spectra of linear block codes over a finite field and their analogues for lattice sphere packings in Euclidean space. He obtains new results about linear codes, and generalizations of Siegel mean value and Minkowski-Hlawka theorems.
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HIGHER-RANK RADON TRANSFORMS ON CONSTANT CURVATURE SPACES
, 2022 We study higher-rank Radon transforms of the form f(τ) → ∫ τ⊂ζf(τ) , where τ is a j-dimensional totally geodesic submanifold in the n-dimensional real constant curvature space and ζ is a similar submanifold of dimension k\u3e j.
Rubin, B.
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Extension sets for real analytic functions and applications to Radon transforms
International Journal of Mathematics and Mathematical Sciences, 1996 The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a small set. A support theorem for Radon transforms in the plane is proved. In particular if fθ extends to
Vernor Arguedas, Ricardo Estrada
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Metabolic and Microvascular Risk Factors Associated With Brain Health in Type 1 Diabetes
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT We examined relationships between metabolic factors, microvascular complications, and brain health in adults with type 1 diabetes. Fifty‐one adults were assessed for metabolic risk factors, microvascular complications, and cognitive function, with a subset completing brain MRI.
Jihyun Park +7 more
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