On the generalized convolution for $F_c$, $F_c$, and $K - L$ integral transforms

• Date: 2012
• 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 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2557
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study new generalized convolutions $f \overset{\gamma}{*} g$ with weight function $\gamma(y) = y$ for the Fourier cosine, Fourier sine, and Kontorovich-Lebedev integral transforms in weighted function spaces with two parameters $L(\mathbb{R}_{+}, x^{\alpha} e^{-\beta x} dx)$. These generalized...