Which of the following statements regarding Laplace and Fourier transforms are correct?

A. In order for a function to possess a Laplace transform, it must obey the condition \(\rm \displaystyle \int_{0^-}^\infty |f(t)|e^{-\alpha t}dt>\infty, \alpha\in Re^+\)

B. In order for a function to possess a Laplace transform, it must obey the condition \(\rm \displaystyle \int_{0^-}^\infty |f(t)|e^{-\alpha t}dt<\infty, \alpha\in Re^+\)

C. For a function to have a Fourier transform, it must obey the condition \(\rm \displaystyle \int_{-\infty}^\infty |f(t)|dt<\infty, \)

D. For a function to have a Fourier transform, it must obey the condition \(\rm \displaystyle \int_{-\infty}^\infty |f(t)|e^{-\alpha t}<\infty, \)

Choose the correct answer from the options given below: