Talk:Fourier transform/Comments

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Should add history and expand on applications (inside maths as well as elsewhere). Probably too much space is taken by the tables of explicit transforms — as such tables can be useful reference, they should perhaps be preserved in a linked page. There is atill clearly an issue (despite valiant efforts to sort it out, as evidenced by the discussion on this talk page!) with the overall structure of the Fourier-related articles. I'm afraid that most others than contributing editors are easily lost in the various articles and their interrelations. As an exmaple, where to find the (still quite elementary) Fourier transform of a function on Rⁿ? As a solution, this page should provide more overview and links to details elsewhere. A compromise between too much and too little generality, a possibility would be to treat the Rⁿ and (multi-)periodic cases on this page (with an informal comment on the relevant and quite straightforward Pontryagin duals), and link to Harmonic analysis (to be expanded) for a treatment of the abstract case. The role of tempered distributions could be alluded to here and treated properly in Harmonic analysis. Stca74 22:26, 14 May 2007 (UTC)