Results 11 to 20 of about 342,487 (164)
A number of interesting theorems have recently been added to the existing ones in the field of integral transforms. The new arrivals can be broadly classified under two categories.
K. C. Gupta
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Some Schemata for Applications of the Integral Transforms of Mathematical Physics
In this survey article, some schemata for applications of the integral transforms of mathematical physics are presented. First, integral transforms of mathematical physics are defined by using the notions of the inverse transforms and generating ...
Yuri Luchko
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Henstock-Kurzweil Integral Transforms
We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .
Salvador Sánchez-Perales +2 more
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Generalized Continuous Integral Wavelet Transform and Its Properties
In this paper, the generalized admissibility condition has been obtained and corresponding generalized continuous integral wavelet transforms have been defined. Two new theorems on generalized continuous integral wavelet transforms are established.
Manoj Kumar
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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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Null Spaces of Radon Transforms [PDF]
We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally geodesic transforms on the sphere and the hyperbolic space, the spherical ...
Estrada, Ricardo, Rubin, Boris
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Fourier transforms of orbital integrals on the Lie algebra of $\operatorname{SL}_2$ [PDF]
The Harish-Chandra--Howe local character expansion expresses the characters of reductive, $p$-adic groups in terms of Fourier transforms of nilpotent orbital integrals on their Lie algebras, and Murnaghan--Kirillov theory expresses many characters of ...
Loren Spice, Loren Spice
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Generalized integral Laplace transform and its application to solving some integral equations
We present integral transforms $\widetilde {\mathcal L}\left\{f(t);x\right\}$ and $\widetilde {\mathcal L}_{\gamma_1,\gamma_2,\gamma} \left\{f(t);x\right\}$, generalizing the classical Laplace transform.
Svetlana M Zaikina
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A Generalized Approach of Triple Integral Transforms and Applications
In this study, we introduce a novel generalization of triple integral transforms, which is called a general triple transform. We present the definition of the new approach and prove the main properties related to the existence, uniqueness, shifting ...
Rania Saadeh
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Identities involving iterated integral transforms
A number of identities involving iterated integral transforms are established, making use of the fact that a function which is a linear combination of the Macdonald's function Kν(z), where z is a complex variable, is a Fourier kernel.
Cyril Nasim
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