Displaying similar documents to “The Fourier Transform of Harish-Chandra's c-Function and Inversion of the Able Transform.”

Some extensions of a certain integral transform to a quotient space of generalized functions

Shrideh K.Q. Al-Omari, Jafar F. Al-Omari (2015)

Open Mathematics

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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.

Boehmians of type S and their Fourier transforms

R. Bhuvaneswari, V. Karunakaran (2010)

Annales UMCS, Mathematica

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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.

Boehmians of type S and their Fourier transforms

R. Bhuvaneswari, V. Karunakaran (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.