I'd like to know if there are any applications of Fourier analysis / Fourier series expansion in General relativity ? I mean how Fourier transform has applications in Quantum mechanics.
Are there any applications of Fourier series/analysis in General relativity
1
$\begingroup$
soft-question
fourier-analysis
fourier-series
general-relativity
2 Answers
0
In dealing with gravitational waves, yes. A quick Google search came up with lots of hits, e.g. http://arxiv.org/ftp/gr-qc/papers/0701/0701008.pdf
1
Fourier Analysis has many applications in Nonlinear PDEs, for example, Nonlinear Schrödinger Equation, a very often used method is Hardy-Littlewood decomposition, to get the well-posedness(existence, uniqueness and some kind of dependence on the initial data) of the solution. A good book is "Nonlinear Dispersive Equation" by Terence Tao.