On difference equations and discrete systems
Let S be an abelian *-semigroup. In this paper we prove some equivalent conditions for that every positive function is a moment function on S + S + S with a unique representation measure on the set of characters of S.
In this paper we study Beurling type distributions in the Hankel setting. We consider the space of Beurling type distributions on having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space . We also establish Paley Wiener type theorems for Hankel transformations of distributions in .
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].
Some geometric objects of higher order concerning extensions, semi-sprays, connections and Lagrange metrics are constructed using an anchored vector bundle.
For the convolution operators with symbols , 0 ≤ Re α < n, , we construct integral representations and give the exact description of the set of pairs (1/p,1/q) for which the operators are bounded from to .