We prove results on the existence of functions whose Fourier series in the Walsh system are universal in some sense or other in the function classes ##IMG## [http://ej.iop.org/images/1064-5616/211/6/850/MSB_211_6_850ieqn1.gif] {$L^{p}[0,1]$} , ##IMG## [http://ej.iop.org/images/1064-5616/211/6/850/MSB_211_6_850ieqn2.gif] {$0 <1$} , and ##IMG## [http://ej.iop.org/images/1064-5616/211/6/850/MSB_211_6_850ieqn3.gif] {$M[0,1]$} . We also give a description of the structure of these functions. Bibliography: 30 titles.

中文翻译：

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通用Fourier-Walsh系列的功能

我们在函数类## IMG ## [http://ej.iop.org/images/1064-5616/211/中证明了存在于沃尔什系统中的傅立叶级数在某种意义上是通用的函数的结果6/850 / MSB_211_6_850ieqn1.gif] {$ L ^ {p} [0,1] $}，## IMG ## [http://ej.iop.org/images/1064-5616/211/6/850 /MSB_211_6_850ieqn2.gif] {$ 0 <1 $}和## IMG ## [http://ej.iop.org/images/1064-5616/211/6/850/MSB_211_6_850ieqn3.gif] {$ M [0 ，1] $}。我们还对这些功能的结构进行了描述。参考书目：30种。