Wiener–Hopf method: Difference between revisions

Revision as of 18:16, 20 April 2013

Revision as of 16:23, 23 January 2014

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function <math>g(x)</math>,

:<math>f=g(x)\text{ for }x\leq 0, \quad f_{y}f=0\text{ when }x>0</math>

and decay at infinity i.e. <math>f\rightarrow 0</math> as <math>\boldsymbol{x}\rightarrow \infty</math>. Taking a [[Fourier transform]] with respect to <math>x</math> results in the following [[ordinary differential equation]]