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Integral Transforms and Special Functions Volume 16, 2005 - Issue 5-6: The 3rd International Conference on Analytic Methods of Analysis and Differential Equations (AMADE-2003), Minsk, Belarus, 4–9 September 2003
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Original Articles

A class of integral transforms related to the fourier cosine convolution

L. E. Britvina Department of Theoretical and Mathematical Physics, Novgorod State University, RussiaCorrespondence[email protected]
Pages 379-389 | Received 18 Feb 2004, Published online: 20 Aug 2006

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Nguyen Minh Khoa, Nguyen Thanh Hong & Vu Kim Tuan. (2017) On Fourier – Kontorovich–Lebedev generalized convolution transforms. Integral Transforms and Special Functions 28:4, pages 271-283.
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L. E. Britvina. (2017) Generalized convolution with two parameters for the Hankel transform and related integral operators. Integral Transforms and Special Functions 28:1, pages 1-14.
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Thi Van Anh Phi & Xuan Thao Nguyen. (2015) Integral transforms of Hartley–Fourier cosine polyconvolution type. Applicable Analysis 94:9, pages 1749-1765.
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Nguyen Xuan Thao, Vu Kim Tuan, Le Xuan Huy & Nguyen Thanh Hong. (2015) On the Fourier–Laplace convolution transforms. Integral Transforms and Special Functions 26:4, pages 303-313.
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N. M. Tuan & P. D. Tuan. (2012) Operator properties and Heisenberg uncertainty principles for a un-unitary integral operator. Integral Transforms and Special Functions 23:1, pages 1-12.
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Bui Thi Giang & Nguyen Minh Tuan. (2010) Generalized convolutions and the integral equations of the convolution type. Complex Variables and Elliptic Equations 55:4, pages 331-345.
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L. E. Britvina. (2009) Integral operators related to generalized convolutions for Hankel transform. Integral Transforms and Special Functions 20:10, pages 785-796.
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Articles from other publishers (15)

Ebrahim Amini, Mojtaba Fardi, Shrideh Al-Omari & Kamsing Nonlaopon. (2023) Duality for convolution on subclasses of analytic functions and weighted integral operators. Demonstratio Mathematica 56:1.
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Trinh Tuan. (2022) Operational Properties of the Hartley Convolution and Its Applications. Mediterranean Journal of Mathematics 19:6.
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Trinh Tuan. (2022) Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications. Mathematical Methods in the Applied Sciences 45:17, pages 11158-11180.
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L. P. Castro, R. C. Guerra & N. M. Tuan. (2021) Convolutions and integral equations weighted by multi-dimensional Hermite functions. Asian-European Journal of Mathematics 15:08.
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Rita C. Guerra. (2022) On the solution of a class of integral equations using new weighted convolutions. Journal of Integral Equations and Applications 34:1.
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T. Tuan. (2020) On the Fourier-Sine and Kontorovich–Lebedev Generalized Convolution Transforms and Their Applications. Ukrainian Mathematical Journal 72:2, pages 302-316.
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Lyubov Britvina. 2020. Transmutation Operators and Applications. Transmutation Operators and Applications 49 66 .
Shrideh K. Q. Al-Omari & Dumitru Baleanu. (2019) Convolution theorems associated with some integral operators and convolutions. Mathematical Methods in the Applied Sciences 42:2, pages 541-552.
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Nguyen Thanh Hong, Trinh Tuan & Nguyen Xuan Thao. (2013) On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms. Applications of Mathematics 58:4, pages 473-486.
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Nguyen Xuan Thao, Vu Kim Tuan & Nguyen Thanh Hong. (2012) A Fourier generalized convolution transform and applications to integral equations. Fractional Calculus and Applied Analysis 15:3, pages 493-508.
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Nguyen Minh Tuan & Nguyen Thi Thu Huyen. (2012) Applications of generalized convolutions associated with the Fourier and Hartley transforms. Journal of Integral Equations and Applications 24:1.
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Nguyen Minh Tuan & Nguyen Thi Thu Huyen. (2010) The Hermite Functions Related to Infinite Series of Generalized Convolutions and Applications. Complex Analysis and Operator Theory 6:1, pages 219-236.
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Bui Thi Giang, Nguyen Van Mau & Nguyen Minh Tuan. (2010) Convolutions for the Fourier transforms with geometric variables and applications. Mathematische Nachrichten 283:12, pages 1758-1770.
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Nguyen Minh Tuan & Nguyen Thi Thu Huyen. (2010) The solvability and explicit solutions of two integral equations via generalized convolutions. Journal of Mathematical Analysis and Applications 369:2, pages 712-718.
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Lyubov' E. Britvina. (2007) Generalized convolutions for the Hankel transform and related integral operators. Mathematische Nachrichten 280:9-10, pages 962-970.
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