Operational calculus for the continuous Legendre transform with applications.
Recent developments on the Stieltjes transform of generalized functions.
Some results on a generalized -Jacobi transform.
Substitution relations for Laplace transformations.
Sull'analisi numerica delle trasformate di Laplace delle funzioni di Anger e di Weber
Tauberian theorems for Laplace transforms in dimension D > 1.
The continuous Jacobi transform.
The distributional 1F1-Transform.
The Laplace transform of exponentially bounded vector-valued functions (real conditions)
The Laplace transform of the modified Bessel function of the second kind.
The Meilin Transform of the Partial Fraction Expansion for 0 (x).
Theorem on association of variables in multidimensional Laplace transforms.
Theorems on -dimensional Laplace transforms and their applications.
Transformations de Laplace et de Mellin. Formulaires. Mode d'utilisation [Book]
Two complex variants of a Hankel type transformation of generalized functions
Uncertainty principles for the Weinstein transform
The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.
α-Mellin Transform and One of Its Applications
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we have introduced the definition of the α-Mellin transform and some of its basic properties. Some examples of special cases are provided. Its operational properties as Theorem 1, Theorem 2 (Convolution theorem) and Theorem 3 (α-Mellin transform...