ON A PROPERTY OF GENERAL HAAR SYSTEM A.Kh. Kobelyan
In the paper we prove that for some type of general Haar systems (particularly for classical Haar system) and for any ε>0 there exists a set {E⊂(0,1)2,|E|>1−ε}, such that for every f∈L1(0,1)2 one can find a function g∈L1(0,1)2, which coincides with f on E and Fourier--Haar coefficients {c(i,k)(g)}i,k=1∞ are monotonic over all rays.
DOI: 10.46991/PYSUA.2013.47.3.023 Physical and Mathematical Sciences, 47(3 (232) 23-28
