What to use instead of simple function?

In a ifourier function if is used simple function, the return is correct mathematically, but if I will use simplify function is not running.

What can I use instead to be correct?

exemple:

syms a real

F = exp(-w^2/(4*a^2))

f = ifourier(F)

f = simple(f)

return

a*exp(-x^2*a^2)/pi^(1/2) .... witch is correct

but if I will use simplify is not running.

I tried this way:

syms w a real
F = exp(-w^2/(4*a^2));
ifourier(F,x)

return is exp(-a^2*x^2)/(2*pi^(1/2)*(1/(4*a^2))^(1/2))

witch is not correct mathematicaly.

Can you help me?

Thank you!

Answer 1

[David Goodmanson]

Hi Liliana,

1/(2*pi^(1/2)*(1/(4*a^2))^(1/2))

may not be pretty, but it does equal a/sqrt(pi) so it is mathematically correct.

[LILIANA FLOREA]

Thank you!