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Dmodules :: Fourier

Fourier -- Fourier transform for Weyl algebra

Synopsis

Description

The Fourier transform is the automorphism of the Weyl algebra which sends xi to Di and Di to -xi.

i1 : makeWA(QQ[x,y])

o1 = QQ[x..y, dx, dy]

o1 : PolynomialRing, 2 differential variables
i2 : L = x^2*dy + y*dy^2 + 3*dx^5*dy

        5      2         2
o2 = 3dx dy + x dy + y*dy

o2 : QQ[x..y, dx, dy]
i3 : Fourier L

       5        2    2
o3 = 3x y + y*dx  - y dy - 2y

o3 : QQ[x..y, dx, dy]

See also

Ways to use Fourier :

For the programmer

The object Fourier is a method function.