On an infinite convolution product of measures

Infinite product measures

The usual proof that the product of a collection of probability measures exists uses Fubini’s theorem. This is unsatisfying because one ought not need to use Fubini’s theorem to prove things having only to do with σ-algebras and measures. In this note I work through the proof given by Saeki of the existence of the product of a collection of probability measures. We speak only about the Lebesgue...

An Infinite Dimensional Convolution Theorem

An Infinite Dimensional Convolution Theorem

An Infinite Dimensional Convolution Theorem

an infinite planar array of rectangular microstrip patch antenna analysis

the methods which are used to analyze microstrip antennas, are divited into three categories: empirical methods, semi-empirical methods and full-wave analysis. empirical and semi-empirical methods are generally based on some fundamental simplifying assumptions about quality of surface current distribution and substrate thickness. thses simplificatioms cause low accuracy in field evaluation. ful...