Abstract
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.
Funding Statement
The second author is partially supported by JSPS KAKENHI (Grant Number 20K03653).
Acknowledgments
The first author is partially supported by PDUPT from Ministry of Research, Technology and Higher Education of the Republic Indonesia.
Citation
Mawardi Bahri. Ryuichi Ashino. "Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae." Abstr. Appl. Anal. 2020 1 - 11, 2020. https://doi.org/10.1155/2020/1273194
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