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What about Weiner's Wiener's proof that the reciprocal of a nowhere zero function on the circle with absoluetely convergent Fourier series also has this property? Gelfand basically created the theory of Banach algebras in order to give a short, clean proof. I think Halmos said something to the effect that Weiner Wiener didn't really understand his own theorem, because he didn't find Gelfand's proof. |
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1 | [made Community Wiki] | ||
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What about Weiner's proof that the reciprocal of a nowhere zero function on the circle with absoluetely convergent Fourier series also has this property? Gelfand basically created the theory of Banach algebras in order to give a short, clean proof. I think Halmos said something to the effect that Weiner didn't really understand his own theorem, because he didn't find Gelfand's proof. |
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