Displaying similar documents to “The Calderón Reproducing Formula, Windowed X-Ray Transforms, and Radon Transforms in L...-Spaces.”

Integral transforms -- the base of recent technologies

Mošová, Vratislava

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In this article, the attention is paid to Fourier, wavelet and Radon transforms. A short description of them is given. Their application in signal processing especially for repairing sound and reconstructing image is outlined together with several simple examples.

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.