Add Fourier transforms

[38968367-17c9-42b1-b82d-c1adf20431c2]

Sage has got laplace and inverse_laplace. It should be fairly easy to add fourier and inverse_fourier. An adequate definition for each should be agreed upon though...

CC: @kcrisman

Component: calculus

Keywords: fourier, transform

Issue created by migration from https://trac.sagemath.org/ticket/8338

[wdjoyner]

comment:1

Sage has Fourier series in the Piecewise class.

For the FT, I vote to use the normalization so that FT is an isometry from L²(R) to itself.

[38968367-17c9-42b1-b82d-c1adf20431c2]

comment:4

Replying to @wdjoyner:

Sage has Fourier series in the Piecewise class.

I'll be checking that.

For the FT, I vote to use the normalization so that FT is an isometry from L²(R) to itself.

I don't understand what you mean there. Could you explain, perhaps post some latex formulas to show your proposed definition.

thanks

Oscar

[wdjoyner]

comment:5

Replying to @sagetrac-olazo:

Replying to @wdjoyner:

For the FT, I vote to use the normalization so that FT is an isometry from L²(R) to itself.

I don't understand what you mean there. Could you explain, perhaps post some latex formulas to show your proposed definition.

The formulas are at http://en.wikipedia.org/wiki/Fourier_transform (which in turn refers to Rudin)

thanks

Oscar

[burcin]

comment:6

I don't think anybody is working on this. I'm changing the milestone to sage-wishlist.

See also the symbolics wiki page for some general pointers about implementing transforms in Sage.

[53959995-fd20-47f5-85e6-5e769b863d1f]

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-Sage has got laplace and inverse_laplace. It should be fairly easy to add fourier and inverse_fourier. An adecuate definition for each should be agreed upon though...
+Sage has got laplace and inverse_laplace. It should be fairly easy to add fourier and inverse_fourier. An adequate definition for each should be agreed upon though...