Tauberian theorem for the distributional Stieltjes transformation.
Tauberian theorems for generalized functions in the scale of regularly varying functions and functionals.
Tauberian-type theorems with application to the Stieltjes transformation.
Taylor formula for distributions [Book]
The distributional 1F1-Transform.
The Fourier integral for a certain class of distributions
The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.
The heat transform and its use in thermal identification problems for electronic circuits.
The Heisenberg group and the group Fourier transform of regular homogeneous distributions
The Identification Problem for the Constantly Attenuated Radon Transform.
The index -transform of generalized functions
In this paper the index transformation
The kernel theorem for Laplace ultradistributions
A kernel theorem for spaces of Laplace ultradistributions supported by an n-dimensional cone of product type is stated and proved.
The Lambert transform on
The Laplace transform of analytic vector-valued functions (complex conditions)
The Laplace transform of analytic vector-valued functions (real conditions)
The Laplace transform on a Boehmian space
In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.
The link between the kernel method and the method of adjoints for the generalized index -transform
In this note we show that the two definitions of generalized index -transform given in the previous works [1] and [2] agree for distributions of compact support.
The Mejer transformation of generalized functions.
The Mellin analytic functionals and the Laplace—Beltrami operator on the Minkowski half-plane
The modified Cauchy transformation with applications to generalized Taylor expansions
We generalize to the case of several variables the classical theorems on the holomorphic extension of the Cauchy transforms. The Cauchy transformation is considered in the setting of tempered distributions and the Cauchy kernel is modified to a rapidly decreasing function. The results are applied to the study of "continuous" Taylor expansions and to singular partial differential equations.
The -dimensional continuous wavelet transformation on Gelfand and Shilov type spaces.