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Integral Transforms and Special Functions Volume 21, 2010 - Issue 4
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Original Articles

Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited

S. B. Yakubovich Department of Pure Mathematics, Faculty of Sciences, University of Porto, Campo Alegre Street, 687, 4169-007, Porto, PortugalCorrespondence[email protected]
&
L. E. Britvina Department of Theoretical and Mathematical Physics, Novgorod State University, ul.St.Petersburgskaya 41, Novgorod the Great, 173003, Russia
Pages 259-276 | Received 19 May 2009, Published online: 27 Jul 2009

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Pham Van Hoang, Tuan Trinh, Xuan Thao Nguyen & Vu Kim Tuan. (2017) Boundedness in weighted L spaces for the Kontorovich–Lebedev–Fourier generalized convolutions and applications. Integral Transforms and Special Functions 28:8, pages 590-604.
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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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Nguyen Xuan Thao, Vu Kim Tuan, Pham Van Hoang & Nguyen Thanh Hong. (2016) Asymptotics of the scattered Debye potentials via a generalized convolution. Integral Transforms and Special Functions 27:2, pages 126-136.
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Nguyen Xuan Thao, Nguyen Minh Khoa & Phi Thi Van Anh. (2013) On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms. Integral Transforms and Special Functions 24:7, pages 517-531.
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Articles from other publishers (10)

Upain K. Mandal, Akhilesh Prasad & Ajay K. Gupt. (2022) Reverse convolution inequalities for Lebedev–Skalskaya transforms. Forum Mathematicum 0:0.
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L E Britvina. (2020) The shift operators related to the Fourier cosine and sine transforms and visualization of their action. Journal of Physics: Conference Series 1658:1, pages 012006.
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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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L E Britvina & V V Ignatenko. (2019) The generalization of shift operator related Bessel differential operator. Journal of Physics: Conference Series 1352:1, pages 012007.
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Trinh Tuan, Pham Van Hoang & Nguyen Thanh Hong. (2018) Integral equation of Toeplitz plus Hankel's type and parabolic equation related to the Kontorovich‐Lebedev‐Fourier generalized convolutions. Mathematical Methods in the Applied Sciences 41:17, pages 8171-8181.
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N. M. Khoa. (2015) On a Polyconvolution with a Weight Function for Fourier Cosine and Laplace Transforms. Acta Mathematica Vietnamica 41:4, pages 549-562.
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Trinh Tuan, Nguyen Thanh Hong & Pham Van Hoang. (2015) Generalized Convolution for the Kontorovich-Lebedev, Fourier Transforms and Applications to Acoustic Fields. Acta Mathematica Vietnamica 41:2, pages 355-367.
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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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N. X. Thao & N. O. Virchenko. (2012) On the generalized convolution for F c , F s , and K–L integral transforms. Ukrainian Mathematical Journal 64:1, pages 89-101.
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Nguyen Xuan Thao. (2010) On the Polyconvolution with the Weight Function for the Fourier Cosine, Fourier Sine, and the Kontorovich-Lebedev Integral Transforms. Mathematical Problems in Engineering 2010, pages 1-16.
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