209
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On the Fourier–Laplace convolution transforms

, , &
Pages 303-313 | Received 06 Oct 2014, Accepted 23 Dec 2014, Published online: 28 Jan 2015

References

  • Debnath L, Bhatta D. Integral transforms and their applications. Boca Raton, FL: Chapman and Hall/CRC; 2007.
  • Sneddon IN. Fourier transforms. New York: McGray-Hill; 1951.
  • Thao NX, Tuan VK, Hong NT. A Fourier generalized convolution transform and applications to integral equations. Fract Calc Appl Anal. 2012;15(3):493–508. doi: 10.2478/s13540-012-0035-y
  • Tuan VK. Integral transforms of Fourier cosine convolution type. J Math Anal Appl. 1999;229:519–529. doi: 10.1006/jmaa.1998.6177
  • Schiff JL. The Laplace transforms: theory and applications. New York: Springer-Verlag Inc.; 1999.
  • Al-Musallam F, Tuan VK. Integral transforms related to a generalized convolution. Results Math. 2000;38(3–4):197–208. doi: 10.1007/BF03322007
  • Britvina LE. A class of integral transforms related to the Fourier cosine convolution. Integral Transforms Spec Funct. 2005;16(5–6):379–389. doi: 10.1080/10652460412331320395
  • Hong NT, Tuan T, Thao NX. On the Fourier cosine–Kontorovich–Lebedev generalized convolution transforms. Appl Math. 2013;58(4):473–486. doi: 10.1007/s10492-013-0023-5
  • Saitoh S, Tuan VK, Yamamoto M. Reverse convolution inequalities and applications to inverse heat source problems. J Inequal Pure Appl Math. 2002;3(5):1–11.
  • Titchmarsh EC. Introduction to the theory of Fourier integrals. 3rd ed. New York: Chelsea Publishing Co.; 1986.
  • Yakubovich SB, Moshinskii AI. Integral equations and convolutions related to the Kontorovich–Lebedev type integral transforms. Differ Uravn. 1993;29(7):1272–1284 [in Russian].

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.