On the -compatibility of supports of distributions of -type.
On the composition of distributions and .
On the continuity of quotient multipliers
On the convolution equations over the quarter-plane.
On the convolution in the space
On the convolution product of the distributional kernel .
On the diametral dimension of weighted spaces of analytic germs
We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near ℝ. This implies a full isomorphic classification for these spaces including the Gelfand-Shilov spaces and for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
On the distributional Stieltjes transformation.
On the distributivity equation for uni-nullnorms
A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distributivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uninorms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet...
On the existence of traces of distributions belonging to (Preliminary communication)
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 Fresnel integrals and the convolution.
On the Fresnel sine integral and the convolution.
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 incomplete gamma function and the neutrix convolution
The incomplete Gamma function and its associated functions and are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions and are then found.
On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin
Mathematics Subject Classification: 44A05, 46F12, 28A78We prove that Dirac’s (symmetrical) delta function and the Hausdorff dimension function build up a pair of reciprocal functions. Our reasoning is based on the theorem by Mellin. Applications of the reciprocity relation demonstrate the merit of this approach.
On the multiplication and convolution of homogeneous distributions
On the non-commutative neutrix product involving slowly varying functions.