Apr 6, 2010 #1 N naspek Member level 1 Joined Feb 17, 2010 Messages 37 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,286 Activity points 1,546 hey there.. i've got question on fourier transform.. the question is.... i've done until.. \[ \begin{aligned} \widehat{y}=\frac{\widehat{f}}{s^2+a^2}\\ =\widehat{g}\widehat{f} \] is this my general solution..? Last edited by a moderator: Aug 27, 2010
hey there.. i've got question on fourier transform.. the question is.... i've done until.. \[ \begin{aligned} \widehat{y}=\frac{\widehat{f}}{s^2+a^2}\\ =\widehat{g}\widehat{f} \] is this my general solution..?
Apr 7, 2010 #2 N naspek Member level 1 Joined Feb 17, 2010 Messages 37 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,286 Activity points 1,546 i've done the inverse.. F^-1[g^(k)] = g(x) = 1/ √2∏ ∫g^(k)e^ikx dk .............................. = 1/ √2∏ ∫ 1/ (k^2 + a^2)e^ikx dk ...............................= √2∏ [(e^-a|x|) / 2a] what's the next step?
i've done the inverse.. F^-1[g^(k)] = g(x) = 1/ √2∏ ∫g^(k)e^ikx dk .............................. = 1/ √2∏ ∫ 1/ (k^2 + a^2)e^ikx dk ...............................= √2∏ [(e^-a|x|) / 2a] what's the next step?