Lacunary Subsystems of the Walsh System

  • B. Golubov
  • A. Efimov
  • V. Skvortsov
Part of the Mathematics and Its Applications book series (MASS, volume 64)

Abstract

The Rademacher system, {r k (x)} = {w2 k , k = 0,1,…, which was used to define the Walsh system (see §1.1), is a typical example of what is called a lacunary subsystem of the Walsh system. We shall study these systems in the next several sections.

Keywords

Positive Lebesgue Measure Walsh Function Dyadic Interval Lacunary Sequence Walsh System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • B. Golubov
    • 1
  • A. Efimov
    • 1
  • V. Skvortsov
    • 2
  1. 1.Moscow Institute of EngineeringMoscowUSSR
  2. 2.Moscow State UniversityMoscowUSSR

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