Displaying similar documents to “Inversion of the Weyl Integral Transform and the Radon Transform on Rn Using Generalized Wavelets.”

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.

An extension of distributional wavelet transform

R. Roopkumar (2009)

Colloquium Mathematicae

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We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.

[unknown]

Kokila Sundaram (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual.

K. Trimèche (1996)

Collectanea Mathematica

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In this work we define and study wavelets and continuous wavelet transform on semisimple Lie groups G of real rank l. We prove for this transform Plancherel and inversion formulas. Next using the Abel transform A on G and its dual A*, we give relations between the continuous wavelet transform on G and the classical continuous wavelet transform on Rl, and we deduce the formulas which give the inverse operators of the operators A and A*.