We prove that for any p perfect set of positive measure and for it＇s any density point x0 one can construct a measurable function f（x）, bounded on [0,1）, such that each measurable and bounded function, which coinc...We prove that for any p perfect set of positive measure and for it＇s any density point x0 one can construct a measurable function f（x）, bounded on [0,1）, such that each measurable and bounded function, which coincides with f（x） on the set p has diverging Fourier-Walsh series on the point xo.展开更多
The proof of(Geiss and Steinicke(2018),Theorem 3.5)needs an extra step addressing the problem that our conditions on the generator are not sufficient to guarantee the existence of the considered optional projectionmail.
文摘We prove that for any p perfect set of positive measure and for it＇s any density point x0 one can construct a measurable function f（x）, bounded on [0,1）, such that each measurable and bounded function, which coincides with f（x） on the set p has diverging Fourier-Walsh series on the point xo.
文摘The proof of(Geiss and Steinicke(2018),Theorem 3.5)needs an extra step addressing the problem that our conditions on the generator are not sufficient to guarantee the existence of the considered optional projectionmail.
