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Some particular properties of general orthonormal systems
Periodica Mathematica Hungarica ( IF 0.6 ) Pub Date : 2020-03-18 , DOI: 10.1007/s10998-020-00323-4
V. Tsagareishvili

The present paper deals with some particular properties of special series of Fourier coefficients of the class of functions with bounded variation with respect to general orthonormal systems (ONS). The obtained results demonstrate that the properties of the general ONS and of the classical ONSs (trigonometric, Haar, Walsh system) are different in some cases.

中文翻译:

一般正交系统的一些特殊性质

本文讨论了相对于一般正交系统 (ONS) 具有有界变化的函数类的傅立叶系数的特殊系列的一些特殊性质。所得结果表明,在某些情况下,一般 ONS 和经典 ONS(三角、Haar、Walsh 系统)的特性是不同的。
更新日期:2020-03-18
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