Recent content by mclaudt

Here some relevant links but none of them solve the problem http://mathoverflow.net/questions/383/motivating-the-laplace-transform-definition/2141 https://www.physicsforums.com/showthread.php?t=155709 http://mathoverflow.net/questions/2809/intuition-for-integral-transforms...

It seems that the key point is the analytical continuation. The raw form of Laplace transform is F(s) = \int_{ℂ}e^{-su}f(u)du, where f(u) is analytical continuation of f(t) to complex plane. And in that case the Laplace transform will be the rotation of basis in {f(u)} space of complex functions...

There is also an operation known as Wick rotation, it is a candidate to interpret the interconnection between Fourier and Laplace, it could be interesting if they both constitute some beautiful scheme.

Sorry for thumb terminology, I just would like to grasp the main idea, as a physicist, without unnecessary complications, associated with system of axioms and definitions. Fourier transform can be seen as rotation of basis in space of all complex-valued functions from basis of delta-functions...

I saw this term here http://www.iqc.ca/publications/tutorials/chaos.pdf It cites some arXiv thesis, and also this Springer's book http://books.google.com/books?id=Orv0BXoorFEC&q=ehrenfest#v=snippet&q=ehrenfest&f=false http://rghost.net/12934951 Book has Synergetics label, so it is quite...

Does that term have the real conventional meaning? I'm only beginning to learn chaos theory, and I would like to avoid some questionable ideas. It seems that classical quantum physics textbooks do not use this therm. As far as I understand, it is used now in some self-published/original...