We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel’fand-Shilov spaces. Further it is shown that th...

exposure (NCRP 1987) . For a variety of reasons, Purpose : Radon risks derive from exposure of bronchio-epithelial however, direct epidemiological assessment of the cells to high-linear energy transfer (LET) a-particles. a-particle risks from domestic radon exposure is diYcult, exposure can result in bystander eVects, where irradiated cells resulting in risk estimates with wide conŽ dence inter...

Radon is one of many geophysical and geochemical phenomena that can be considered to be an earthquake precursor. Due to the non-linear dependence of earthquakes’ initial conditions, the question about the predictability of earthquakes often arises (Geller, 1997). The successful prediction of earthquakes is yet to be accomplished, in terms of their magnitude, location and time, and much effort h...

In this paper we consider two notions that have been discovered and rediscovered by geometers and analysts since 1917 up to the present day. The first is that of a Radon curve, introduced by Radon in 1917 [50]. It is a special kind of centrally symmetric closed convex curve in the plane. Any centrally symmetric closed convex curve in the plane defines a norm turning the plane into a two-dimensi...

Mechanistic models for radon progeny induced lung cancer risk have been developed, based on radiation mechanisms at the cellular level. The cellular effects relevant to radiation-induced carcinogenesis are transformation, cell killing, stimulated cell division, and removal from contact inhibition. Depending upon the 115 ©Naturwissenschaftlich-Medizinischen Vereinigung in Salzburg; download unte...

We present a new method for rigid registration of CT datasets in 3D Radon space based on sparse sampling of scanning projections. The inputs are the two 3D Radon transforms of the CT scans, one densely sampled and the other sparsely sampled (limited number of scan angles/ranges). The output is the rigid transformation that best matches them. The method first finds the best matching between each...

We specify an analogy in which the various classifier combination methodologies are interpreted as the implicit reconstruction, by tomographic means, of the composite probability density function spanning the entirety of the pattern space, the process of feature selection in this scenario amounting to an extremely bandwidth-limited Radon transformation of the training data. This metaphor, once ...

It is proposed a new approach for solution of the boundary problems for wide class of partial differential equations of mathematical physics, which includes the Laplace, Poisson and Helmholtz equations and parabolic equations. The approach is based on the discovered by author Local Ray Property and leads to new General Ray (GR) Method that uses the explicit analytical formulas with inverse Rado...

Abstract. We show that the Camassa–Holm equation ut −uxxt +3uux −2uxuxx −uuxxx = 0 possesses a global continuous semigroup of weak conservative solutions for initial data u|t=0 in H. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. To characterize conservative solutions it is necessary to include the energy density given by the positive Radon measur...