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Topic: [HM] First Proof of inverse Fourier Transform
Replies: 2   Last Post: Jan 27, 1999 12:38 AM

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Michael Deakin

Posts: 64
Registered: 12/3/04
Re: [HM] First Proof of inverse Fourier Transform
Posted: Jan 27, 1999 12:38 AM
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Alain Juhel asked:

> Who could be the author of the first rigorous proof of the inversion
> formula for the Fourier Transform?
> Or is it considered as a mere by-product of Dirichlet's ideas?
> (although there is no quotation of it in Dirichlet's work)

It's some years since I looked into this, and in the end it is a
question bound to have a less than definite answer. However, when I
did look into these things in detail, I formed the view that the
first rigorous proof was Pringsheim's in DDMV 16 (1907), pp. 2-16.

But I'm sure others will disagree.

Mike Deakin

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