Talk:Nachbin's theorem

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[edit] Borel transform

Why is Borel transform redirected to this page, which has some discussion of generalized Borel transforms? Surely there should be a page on the ordinary Borel transform, referred to here. Unfortunately I'm not qualified to write such a page. --Dylan Thurston 04:01, 15 March 2006 (UTC)

The ordinary Borel transform is the same thing as the Laplace transform, which this article explains. Since no one calls the Laplace transform the Borel transform any more, it seemed more appropriate to redirect here, where the usage is still in vogue. But maybe I'm mistaken. linas 02:10, 16 March 2006 (UTC)
  • Can Borel and Borel-generalized transforms be applied when the function f(t) has no exponential order for example...f(x)=e^ {x^2} or simply if | f(t) | > CeMt for real C and M ?..
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