A characterization of the generalized Meijer transform.
A commutative neutrix convolution of distributions and the exchange formula
A Convolution Connected with the Kontorovich-Lebedev Transform.
A convolution operation for a distributional Hankel transformation
We investigate the Hankel transformation and the Hankel convolution on new spaces of generalized functions.
A convolution product of th derivative of Dirac's delta in and multiplicative distributional product between and .
A distribution Hardy transformation.
A family of Kučera spaces
A generalized Hankel convolution on Zemanian spaces.
A Generalized Hecke Identity.
A generalized inversion formula for the continuous Jacobi transform.
A generalized Meijer transformation.
A Kratzel's integral transformation of distributions.
In this paper we study an integral transformation introduced by E. Kratzel in spaces of distributions. This transformation is a generalization of the Laplace transform. We employ the usually called kernel method. Analyticity, boundedness, and inversion theoremes are established for the generalized transformation.
A multidimensional distribution sampling theorem
Using Bochner-Riesz means we get a multidimensional sampling theorem for band-limited functions with polynomial growth, that is, for functions which are the Fourier transform of compactly supported distributions.
A note on boundary values for the Poisson transform
A note on some spaces of distributions with Laplace transform.
A note on the Cauchy-Bochner formula for a class of Beurling ultradistributions
A note on Zemanian spaces.
A Parseval equation and a generalized finite Hankel transformation
In this paper, we study the finite Hankel transformation on spaces of generalized functions by developing a new procedure. We consider two Hankel type integral transformations and connected by the Parseval equation A space of functions and a space of complex sequences are introduced. is an isomorphism from onto when . We propose to define the generalized finite Hankel transform of by
A Phragmén-Lindelöf type quasi-analyticity principle
Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.
A remark on singular supports of convolutions.