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.
Archive for June, 2010
III.27 The Fourier Transform, Terence Tao. Page: 205
Tuesday, June 29th, 2010III.27 The Fourier Transform, Terence Tao. Page: 204
Tuesday, June 1st, 2010Relationship to even and odd functions.
Decomposing generic functions into a superposition of symmetric functions.
Decomposition into harmonics.