...paper
This work remained unpublished until 1822.
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...sums
Note. We have tacitly changed the interval to 28#28 for convenience.
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...1.
Recall, (m,n) = 1 means m and n are relatively prime.
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...integrable?
This question of course has been answered. The relevant theorem is this:Theorem. Let J be a closed interval. The function f(x) is R-integrable over J if and only if it is continuous almost everywhere-J. In the case that f is non negative, these conditions in turn are equivalent to the graph of f(x) being (Jordan) measurable.
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...spaces
To name just a few, there are the Lebesgue, Hardy, Lipschitz, Sobolev, Orlicz, Lorentz and Besov spaces. Each space plays its own unique and important role in some slightly different area of analysis.
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...analysis
And this is an entire area of mathematics in and of itself.
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Don Allen
Mon Apr 21 12:31:50 CDT 1997