In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized functions is given. Similar results to some theorems that hold in the classical theory, or in certain subspaces of Schwartz distributions, have been obtained in this framework
Results on Colombeau product of distributions are derived. They are obtained in Colombeau differenti...
We investigate the modified Mellin transform on certain function space of generalized functions. We ...
The application of generalized functions (distributions) in a theory can be caused by different reas...
In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized...
AbstractA generalized integral similar to integrability B is used to study the Hilbert transform onX...
O. Introduction. A new theory of generalized functions which is an ex-tension of classical theory of...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating t...
We introduce some spaces of generalized functions that are defined as generalized quotients and Boeh...
In this paper we present some remarks about the Hilbert transform on the real line and its approxima...
AbstractIn this paper we establish a Paley–Wiener theorem for the Hankel transformation on generaliz...
Results on products of distributions are derived. They are obtained in Colombeau differential algebr...
The Hilbert transform on the real line has applications in many fields. In particular in one–dimensi...
AbstractIn this note the Hankel transformation on a new class of generalized functions of Colombeau ...
We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributi...
Results on Colombeau product of distributions are derived. They are obtained in Colombeau differenti...
We investigate the modified Mellin transform on certain function space of generalized functions. We ...
The application of generalized functions (distributions) in a theory can be caused by different reas...
In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized...
AbstractA generalized integral similar to integrability B is used to study the Hilbert transform onX...
O. Introduction. A new theory of generalized functions which is an ex-tension of classical theory of...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating t...
We introduce some spaces of generalized functions that are defined as generalized quotients and Boeh...
In this paper we present some remarks about the Hilbert transform on the real line and its approxima...
AbstractIn this paper we establish a Paley–Wiener theorem for the Hankel transformation on generaliz...
Results on products of distributions are derived. They are obtained in Colombeau differential algebr...
The Hilbert transform on the real line has applications in many fields. In particular in one–dimensi...
AbstractIn this note the Hankel transformation on a new class of generalized functions of Colombeau ...
We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributi...
Results on Colombeau product of distributions are derived. They are obtained in Colombeau differenti...
We investigate the modified Mellin transform on certain function space of generalized functions. We ...
The application of generalized functions (distributions) in a theory can be caused by different reas...
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