On the Fourier transform and the exchange property.
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.
On the Fourier-Laplace representation of analytic functions in tube domains.
On the frame of the unit ball of Banach spaces
The notion of the frame of the unit ball of Banach spaces was introduced to construct a new calculation method for the Dunkl-Williams constant. In this paper, we characterize the frame of the unit ball by using k-extreme points and extreme points of the unit ball of two-dimensional subspaces. Furthermore, we show that the frame of the unit ball is always closed, and is connected if the dimension of the space is not less than three. As infinite dimensional examples, the frame of the unit balls of...
On the Fréchet differentiability of distance functions
On the Fresnel integrals and the convolution.
On the Fresnel sine integral and the convolution.
On the function .
On the functional equation H [tau (F,G), chi (F,G)] = H (F,G).
In this paper we solve the functional equationH [tau(F,G), chi (F,G)] = H (F,G)where the unknowns tau and chi are two semigroups on a space of distribution functions, and H is a given pointwise binary operation on this space satisfying some regularity conditions.
On the functors Ext¹(E,F) for Fréchet spaces
On the fundamental inequality in locally multiplicatively convex algebras
On the Gelfand-Philips Property in ?-tensor Products.
On the Gelfand-Phillips property in Banach spaces with PRI.
On the generalized -Riesz difference sequence space and -property.
On the generalized continuity of the semivariation in locally convex spaces
On the generalized Dirichlet series of several complex variables
On the generalized Drazin inverse and generalized resolvent
We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range and kernel....
On the generalized Hardy spaces.
On the generalized Hardy's inequality of McGhee, Pigno and Smith and the problem of interpolation between BMO and a Besov space.
On the generalized Morrey spaces.