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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae

Bahri M.

Abstract and Applied Analysis

Q4
Published: 2020Citations: 3

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.

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10.1155/2020/1273194

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MathematicsSciences
Sampling (signal processing)Sciences
Heat equationSciences
Domain (mathematical analysis)Sciences
Wave equationSciences
Applied mathematicsSciences
Canonical formSciences
Mathematical analysisSciences
Pure mathematicsSciences
Computer scienceSciences
Computer visionSciences
Filter (signal processing)Sciences