Title：A generalisation of a result of Mark Kac

Speaker：Freddy Delbaen, 教授（the Department of Mathematics, ETH Zurich）

Time：2017年9月19日   上午9:00--10:00

Room：东区管理科研楼  数学科学学院1518室

Abstract: In 1947 Mark Kac proved that for a centred Hoelder continuous function $f$ defined on $[0,1]$ 

and extended periodically to the whole real line,  the sequence $f(2^k t)$ satisfies a Central Limit Theorem.  

We extend  the result to measurable $L^2$ functions satisfying a fast approximation property. The result 

naturally extends to similar functions defined on Bernoulli shifts.