On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich–Lebedev integral transforms

• Date: 2010
• Main Authors: Thao, N. X., Virchenko, N. A., Тао, Н. Х., Вірченко, Н. О.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2963
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The polyconvolution $∗_1(f,g,h)(x)$ of three functions $f, g$ and $h$ is constructed for the Fourier cosine $(F_c)$, Fourier sine $(F_s)$, and Kontorovich–Lebedev $(K_{iy})$ integral transforms whose factorization equality has the form $$F_c(∗_1(f,g,h))(y)=(F_sf)(y).(F_sg)(y).(K_{iy}h)\;\;∀y>...