Why does shortening window widen its Fourier Transform? On page 76 of the book Discrete Time Speech Signal Processing by Thomas F.Quatieri, the author states "shortening the window widens its Fourier Transform".

Can anyone explain why?
As per my knowledge, you can use the context of Duality property of Fourier to understand this. So if you reduce the time window size then the spectrum (Fourier transform)should widen(Duality). Hope this helps!