Results 11 to 20 of about 840,464 (267)
The class of Clifford-Fourier transforms [PDF]
, 2011 Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
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International Journal of Mathematics and Mathematical Sciences, 1986 This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral ...
D. Naylor
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International Journal of Mathematics and Mathematical Sciences, 1988 A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
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Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]
, 2009 We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
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Another kind of general integral transform called “emad-salam-elaf transform” [PDF]
BIO Web of ConferencesThis article introduces another type of integral transformation in its general format; this general transformation is proposed as a new general integral transformation called the “Emad-Salam-Elaf Transform.” This general integral transformation is ...
Abdulhussein Sehen Salam +2 more
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Proceedings of the Edinburgh Mathematical Society, 1956 Titchmarsh and others [4] havo studied integral transform pairs of tho typeshowing how such pairs may be generated as a consequence of the relation which holds between the Mellin transforms of the kernels.
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On the Mohand Transform and Ordinary Differential Equations with Variable Coefficients
مجلة المختار للعلوم, 2020 The Mohand transform is a new integral transform introduced by Mohand M. Abdelrahim Mahgoub to facilitate the solution of differential and integral equations.
Mohamed E. Attaweel, Haneen Almassry
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Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform
Advances in Mathematical Physics, 2021 In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay +3 more
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The Dunkl kernel and intertwining operator for dihedral groups
, 2020 Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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Clifford algebras, Fourier transforms and quantum mechanics [PDF]
, 2012 In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
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