Laplace and fourier symbolic transform relationship

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Hello, I wrote a code that transforms a function f(t) to F(s) and F(w):
syms f(t) F1(s) F2(w)
f(t)=1;%1 is only example
F1(s)=laplace(f);
F2(w)=(1/(2*pi))*fourier(f);
Now, I have to write a code that checks that the relationship between the 2 transforms exists but I can't find a way to do that. I think that s=j*w but it doesn't help me to see the relationship. Need help, thanks

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