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\begin{document}

\title{Laplace Transform}
\author{Fabian Immler}
\maketitle
\begin{abstract}
This entry formalizes the Laplace transform and concrete Laplace transforms for arithmetic
functions, frequency shift, integration and (higher) differentiation in the time domain.
It proves Lerch's lemma and uniqueness of the Laplace transform for continuous functions.
In order to formalize the foundational assumptions, this entry contains a formalization of piecewise
continuous functions and functions of exponential order.
\end{abstract}

\tableofcontents

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\end{document}

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