Archive for June, 2010

III.27 The Fourier Transform, Terence Tao. Page: 205

Tuesday, June 29th, 2010

Finite and infinite decomposition.

If f is smooth then the relationship to Harmonic Analysis.

Groups of symmetries: the circle group, the additive group and the Pontryagin dual of the circle group.

Relationship to partial differential equations.

III.27 The Fourier Transform, Terence Tao. Page: 204

Tuesday, June 1st, 2010

Relationship to even and odd functions.

Decomposing generic functions into a superposition of symmetric functions.

Decomposition into harmonics.