Boehmians on manifolds.
On the Fourier transform and the exchange property.
On pseudonormability of some particular classes of spaces
The Fréchet transform.
On the Fourier transform, Boehmians, and distributions
We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
A sheaf of Boehmians
We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
A remark on associative copulas
A method for producing associative copulas from a binary operation and a convex function on an interval is described.
Shuffles of Min.
Copulas are functions which join the margins to produce a joint distribution function. A special class of copulas called shuffles of Min is shown to be dense in the collection of all copulas. Each shuffle of Min is interpreted probabilistically. Using the above-mentioned results, it is proved that the joint distribution of any two continuously distributed random variables X and Y can be approximated uniformly, arbitrarily closely by the joint distribution of another pair X* and Y* each of which...
Page 1