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

• Datum: 2012
• Hauptverfasser: Thao, N. X., Virchenko, N. A., Тао, Н. Х., Вірченко, Н. О.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2557
• Назва журналу: 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...