Fractional derivative
- To: mathgroup at smc.vnet.net
- Subject: [mg32185] Fractional derivative
- From: "Sridhar Ramanujam" <ramanuja at usc.edu>
- Date: Fri, 4 Jan 2002 05:04:02 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Dear Mathgroup members,
I was trying to find the inverse fourier transform of (2 I Pi f)^0.5 and I tried it with mathematica and I got the following result:
(-0.886227+(0.886227)sign(t))/(t^2)^0.75.
Obviously, this is a one-sided function of t. My problem is that if I multiply the fourier transform by itself, one should get a function which is (2 I Pi f) - which is satisfied in the frequency domain but not in the time domain. I don't see one-sided infinite support functions convolving to give the derivative of the dirac delta function.
If anyone has any suggestions, please pass them on....
Thanks,
Sridhar.