The Laplace transform is a linear mapping from the functions of time domain to frequency domain. The part $K(t,p)=e^{-pt}$ is called the kernel. The definition of kernel is the set which takes the transformed value to zero.. Now the question is how the $K(t,p)$ takes the zero value after transformation..?
2026-04-02 22:35:05.1775169305
Laplace transform as a linear transformation
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