Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae
Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae
复制标题
DOI：
10.1155/2020/1273194
复制
发表时间：
2020-10
影响因子：
--
通讯作者：
M. Bahri;R. Ashino
中科院分区：
文献类型：
--
作者：
M. Bahri;R. Ashino
给出了线性正则变换（LCT）的几个基本性质。研究了LCT域中与采样定理有关的一些结果。介绍了真实的直线上的广义波动方程和热方程，并利用采样公式构造了它们的解。给出了一些例子来说明我们的结果。
Several essential properties of the linear canonical transform (LCT) are provided. Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. Some examples are presented to illustrate our results.