Site logo

ON ONE SPECTRUM OF UNIVERSALITY FOR WALSH SYSTEM

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In the present work it is shown that the set {}0201NiiiiDδδ∞==∑:=, for every sequence 01iNN…N…<<<< of natural numbers can be changed into the set of the form{(()) }ko k kDωΛ= +: ∈, where ()kω is an arbitrary, tending to infinity at k→+∞ sequence, such that Λ is the spectrum of universality for Walsh system.

Subscribe to TheGufo Newsletter​