(05/04/2014, 07:36 PM)JmsNxn Wrote: I figure it's probably a good idea to post my paper now. I feel it's 90% there and it certainly is legible and will clarify what I am talking about much more. I can apply more powerful techniques than what's in the paper but nonetheless it still portrays what I am trying to do.
James Nixon's paper on fractional calculus.
Amazing. I only saw the first bit of the paper, I'm really excited right now because it seems there's a simple integral-transform representation for the "Weyl differintegral". This is really really really really really interesting to me, because of ... dum dum dum ... the continuum sum!
In particular, I am really interested in your Definition 3. How does that expression come from the original Weyl differintegral which was defined for Fourier series? I.e. how do you generalize the Fourier series definition to that definition?
