Fatou's Theorems
Let 
be Lebesgue Integrable and let
 | (1) |
 | (2) |
Let
 | (3) |
, and let the integral | (4) |
. This condition is equivalent to the convergence of | (5) |
, | (6) |
is measurable, 
is Lebesgue Integrable, and the FourierSeries of is given by writing 
.
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 274, 1975.
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- Liouville's Constant
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- LLL Algorithm
- Ln
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