O. Introduction. A new theory of generalized functions which is an ex-tension of classical theory of distributions has been introduced and various properties have been generalized in [1]. In the case of open subsets of C n, the concept of generalized holomorphic functions has been introduced and systematically developed in [2]. The notion of Laplace Transforms for cer
We present integral transforms $\widetilde {\mathcal L}\{f(t);x\}$ and $\widetilde {\mathcal L}_{\ga...
but the origin of integral transform is Fourier and Laplace transforms. So these two transforms are ...
This paper considers the definition and the properties of the generalized natural transform on sets ...
In this work we define a generalized Laplace transform and establish some of its fundamental propert...
Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains mai...
In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized...
Abstract: The space of new generalized functions has been constructed. The operation of associative ...
AbstractIn the new theory of generalized functions introduced by one author we study the generalized...
This self-contained treatment develops the theory of generalized functions and the theory of distrib...
Abstract: Communication is all based on Mathematics, be it digital, wired or wireless using Fourier ...
The application of generalized functions (distributions) in a theory can be caused by different reas...
A technique for obtaining asymptotic expansions of integrals by approximating the integrand and then...
AbstractThe theory of distributions, or generalized functions, evolved from various concepts of gene...
The paper introduces generalization of Laplace transform of two variables. An inversion formula and ...
A class of functions called generalized Bernstein functions is studied. The fundamental properties o...
We present integral transforms $\widetilde {\mathcal L}\{f(t);x\}$ and $\widetilde {\mathcal L}_{\ga...
but the origin of integral transform is Fourier and Laplace transforms. So these two transforms are ...
This paper considers the definition and the properties of the generalized natural transform on sets ...
In this work we define a generalized Laplace transform and establish some of its fundamental propert...
Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains mai...
In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized...
Abstract: The space of new generalized functions has been constructed. The operation of associative ...
AbstractIn the new theory of generalized functions introduced by one author we study the generalized...
This self-contained treatment develops the theory of generalized functions and the theory of distrib...
Abstract: Communication is all based on Mathematics, be it digital, wired or wireless using Fourier ...
The application of generalized functions (distributions) in a theory can be caused by different reas...
A technique for obtaining asymptotic expansions of integrals by approximating the integrand and then...
AbstractThe theory of distributions, or generalized functions, evolved from various concepts of gene...
The paper introduces generalization of Laplace transform of two variables. An inversion formula and ...
A class of functions called generalized Bernstein functions is studied. The fundamental properties o...
We present integral transforms $\widetilde {\mathcal L}\{f(t);x\}$ and $\widetilde {\mathcal L}_{\ga...
but the origin of integral transform is Fourier and Laplace transforms. So these two transforms are ...
This paper considers the definition and the properties of the generalized natural transform on sets ...