- #1

- 371

- 0

## Main Question or Discussion Point

I would like to know how one finds the Fourier transforms of

[tex]t[/tex],

[tex]\frac{1}{t}[/tex]

and

[tex]{t}^{n}[/tex]

with the definition of the fourier transform as

[tex]\mathscr{F}\{f(t)\}=\mathcal{F}\{f(t)\}=\frac{1}{ \sqrt{2\pi} }\int\limits_{-\infty}^{\infty}{e}^{-i\omega t}f(t)\mbox{d}t[/tex]

I have tried the definition of a fourier transform and I got some weird limits. Laplace transforms are so much easier!

Thanks in advance.

[tex]t[/tex],

[tex]\frac{1}{t}[/tex]

and

[tex]{t}^{n}[/tex]

with the definition of the fourier transform as

[tex]\mathscr{F}\{f(t)\}=\mathcal{F}\{f(t)\}=\frac{1}{ \sqrt{2\pi} }\int\limits_{-\infty}^{\infty}{e}^{-i\omega t}f(t)\mbox{d}t[/tex]

I have tried the definition of a fourier transform and I got some weird limits. Laplace transforms are so much easier!

Thanks in advance.