Results 211 to 220 of about 71,460,248 (256)

On an Inversion Formula for an Integral Transform of Convolution Type

On an Inversion Formula for an Integral Transform of Convolution Type
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The convolution of an extension of Al-Zughair integral transform

Journal of Interdisciplinary Mathematics, 2019
AbstractWe will introduce in this paper, a definition the convolution of an extension of Al-Zughair integral transform and properties and how to benefit from it to solve ordinary differential equat...
Ali Hassan Mohammed
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A Fourier generalized convolution transform and applications to integral equations

Fractional Calculus and Applied Analysis, 2012
An integral transform related to Fourier sine, Fourier cosine and generalized convolution is introduced and a Watson type theorem for the transform is proved. Later on, solutions of some integral equations in closed form are obtained as applications.
Nguyen Thanh Hong, Vu Kim Tuan, Nguyen Xuan Thao   +2 more
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Integral Transforms Related to a Generalized Convolution

Results in Mathematics, 2000
A general convolution transform of the Fourier cosine-sine type is investigated. The authors find necessary and sufficient conditions on the kernel function, which makes the mentioned transform a unitary transform on \(L_2(\mathbb{R})\). A special class of the Fourier sine kernels is defined. Watson and Plancherel type theorems are proved.
Al-Musallam, F., Tuan, Vu Kim
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A FUBINI THEOREM FOR INTEGRAL TRANSFORMS AND CONVOLUTION PRODUCTS

International Journal of Mathematics, 2013
In this paper we establish Fubini theorems for integral transforms and convolution products for functionals on function space.
Chung, Hyun Soo, Skoug, David, Chang, Seung Jun   +2 more
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Some inequalites for convolution integral transforms

Integral Transforms and Special Functions, 1994
In this paper we consider the inqualities for convolution integral transforms.We proceed to the study of the operators fractional integration and applications to the theory of integral equations.
Askhab Yakubov, Lamara Shankishvili
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Factorization of integral transformations of convolution type

Journal of Soviet Mathematics, 1985
Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 21, 3-41 (Russian) (1983; Zbl 0562.44005).
Brychkov, Yu. A., Glaeske, H.-J., Marichev, O. I.   +2 more
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A general class of integral transforms and an expression for their convolution formulas

Integral Transforms and Special Functions, 2021
A class of integral transforms which satisfies certain assumptions is considered. Several examples, including the Fourier, Laplace and Mellin transforms, are in this class as well as transforms whi...
Thomas Futcher, Marianito R. Rodrigo
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The Hypergeometric Approach to Integral Transforms and Convolutions

1994
Preface. 1. Preliminaries. 2. Mellin Convolution Type Transforms with Arbitrary Kernels. 3. H- and G-Transforms. 4. The Generalized H- and G-Transforms. 5. The Generating Operators of Generalized H-Transforms. 6. The Kontorovich--Lebedev Transform. 7. General W-Transform and its Particular Cases. 8.
Semen B. Yakubovich, Yurii F. Luchko
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