FOURIER COEFFICIENTS OF CONTINUOUS FUNCTIONS WITH RESPECT TO LOCALIZED HAAR SYSTEM
Journal Title: Проблемы анализа-Issues of Analysis - Year 2017, Vol 6, Issue 1
Abstract
We construct a nontrivial example of a continuous function f* on [0, 1]² which is orthogonal to tensor products of Haar functions supported on intervals of the same length. This example clarifies the possible behaviour of Fourier coefficients of continuous functions with respect to a localized Haar system. The function f* has fractal structure. We give lower bounds on its smoothness.
Authors and Affiliations
Elena Belkina, Yu. V. Malykhin
Keywords
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- EP ID EP225100
- DOI 10.15393/j3.art.2017.3871
- Views 126
- Downloads 0
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