Gaussian measure is constructed for any given hyperplane in an infinite dimensional Hilbert space, and this is used to define a generalization of the Radon transform to the infinite dimensional setting, using Gauss measure instead of Lebesgue measure. An inversion formula is obtained and a support theorem proved.

In this paper we consider fractional maximal operators with Radon measure on R. We do not pose any assumption on the measure μ except that the measure is non-zero. For the proof we construct Riesz-like potential operators for μ.

It is now generally recognized in most countries that Radon-222 is the principal source of potentially hazard1,2 ous radiation source in the general population. Simple devices used to measure Radon levels in the air record the number of alpha particle tracks, evidence of the radioactive disintegration of Radon. The unit of radioactivity of nuclides (isotopes of elements that disintegrate sponta...

Keramatollah Akbari, Jafar Mahmoudi TDI researcher at ACECR, Iran and Mälardalen University, PhD student, School of Sustainable Development of Society and Technology, Västeras, Sweden [email protected] Mälardalen University, Adj Professor at School of Sustainable Development of Society and Technology, Västeras, Sweden [email protected] Abstract A heat recovery ventilation system en...

INTRODUCTION Radon is the second most important cause of lung cancer after smoking. Thus, the determination of indoor radon concentrations in dwellings and workplaces is an important public health concern. The purpose of this research was to measure the concentration of radon gas in residential homes and public places in the city of Shiraz and its relationship with the type and age of the build...

For a large class, containing the Kato class, of real-valued Radon measures m on R d the operators −∆ + ε 2 ∆ 2 + m in L 2 (R d , dx) tend to the operator −∆ + m in the norm resolvent sense, as ε tends to zero. If d ≤ 3 and a sequence (µ n) of finite real-valued Radon measures on R d converges to the finite real-valued Radon measure m weakly and, in addition, sup n∈N µ ± n (R d) < ∞, then the o...

Radon is one of the most important radioactive gases.Radon emits alpha particles and ultimately,it can cause genetic disorders.There are many reports of carcinogenesis and its harmful effects.One way to get this gas into the body is by eating and drinking.In the meantime,milk is one of the most consuming foods that can be contaminated with radon.In this study, the concentration of radon gas was...