(,) mapping properties of convolution transforms
A certain integral-recurrence equation with discrete-continuous auto-convolution
Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
A convolution relation with remainder estimate.
A generalized Hankel convolution on Zemanian spaces.
A new variant for the Meijer's integral transform
A new version of the fast Gauss transform.
A note on approximation of the identity
A note on some spaces of distributions with Laplace transform.
A note on the convolution in the Mellin sense with generalized functions.
A note on weak estimates for oscillating kernels
A property of L-L integral transformations.
A reconsideration of the "three squares" problem.
A remark on singular supports of convolutions.
A remark on the asymmetry of convolution operators
A convolution operator, bounded on , is bounded on , with the same operator norm, if and are conjugate exponents. It is well known that this fact is false if we replace with a general non-commutative locally compact group . In this paper we give a simple construction of a convolution operator on a suitable compact group , wich is bounded on for every and is unbounded on if .
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 Singular Convolution Equation In The Space Of Distributions
A Singular Convolution Equation In The Space Of Distributions II
A singular convolution equation in the space of distributions.
A singular convolution equation in the space of distribution. II.
A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on
We prove a spectral Paley-Wiener theorem for the Heisenberg group by means of a support theorem for the twisted spherical means on If is a Schwartz class function we show that is supported in a ball of radius in if and only if for for all This is an analogue of Helgason’s support theorem on Euclidean and hyperbolic spaces. When we show that the two conditions for imply a support theorem for a large class of functions with exponential growth. Surprisingly enough,this latter...