Vitali's Convergence Theorem
Let 
be a sequence of functions, each regular in a region 
, let 
for every 
and 
in ,and let tend to a limit as 
at a set of points having a Limit Point inside . Then tends uniformly to a limit in any region bounded by a contour interior to , the limit therefore being an analyticfunction of .
References
Titchmarsh, E. C. The Theory of Functions, 2nd ed. Oxford, England: Oxford University Press, p. 168, 1960.
- Jug
- Jugendtraum
- Juggling
- Julia Fractal
- Julia Set
- Jump
- Jump Angle
- Jumping Champion
- Jung's Theorem
- Just If
- Just One
- Kabon Triangles
- Kac Formula
- Kac Matrix
- Kakeya Needle Problem
- Kakutani's Fixed Point Theorem
- Kakutani's Problem
- Kalman Filter
- Kampyle of Eudoxus
- KAM Theorem
- Kanizsa Triangle
- Kantorovich Inequality
- Kaplan-Yorke Conjecture
- Kaplan-Yorke Dimension
- Kaplan-Yorke Map