View source for Men'shov example of a zero-series

The first non-trivial example of a [[Trigonometric series|trigonometric series]] that converges to zero in the complement of a [[Perfect set|perfect set]] of measure zero; constructed by D.E. Men'shov [[#References|[1]]]. A series with this property is called a zero-series. A problem naturally connected with this notion is that of the uniqueness of a trigonometric series of a function (see [[Uniqueness set|Uniqueness set]]).

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  D.E. Men'shov,   "Sur l'unicité du développement trigonométrique"  ''C.R. Acad. Sci. Paris'' , '''163'''  (1916)  pp. 433–436</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top">  N.K. [N.K. Bari] Bary,   "A treatise on trigonometric series" , Pergamon  (1964)  (Translated from Russian)</TD></TR></table>



====Comments====


====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  A. Zygmund,   "Trigonometric series" , '''1–2''' , Cambridge Univ. Press  (1988)</TD></TR></table>