标题： 一种新的科尔托维奇-列别杰夫型变换 显示英文标题

标题： A new Kontorovich-Lebedev-like transformation

摘要： 一种对修改贝塞尔函数的常见积分表示的不同应用导致了一种新的类似 Kontorovich-Lebedev 的积分变换，该变换具有广义复数指标。 映射和运算性质、卷积算子以及逆公式被建立起来。 展示了相应卷积积分方程类的可解条件和显式解。 显示英文摘要

摘要： A different application of the familiar integral representation for the modifed Bessel function drives to a new Kontorovich-Lebedev-like integral transformation of a general complex index. Mapping and operational properties, a convolution operator and inversion formula are established. Solvability conditions and explicit solutions of the corresponding class of convolution integral equations are exhibited.