Abstract:
In this article we give a brief account of the results on multiple trigonometric and orthogonal series that have been obtained so far and are fundamental from our point of view. We also state results on simple trigonometric and orthogonal series that are new or have been obtained recently.
Citation:
L. V. Zhizhiashvili, “Some problems in the theory of simple and multiple trigonometric and orthogonal series”, Russian Math. Surveys, 28:2 (1973), 65–127
\Bibitem{Zhi73}
\by L.~V.~Zhizhiashvili
\paper Some problems in the theory of simple and multiple trigonometric and orthogonal series
\jour Russian Math. Surveys
\yr 1973
\vol 28
\issue 2
\pages 65--127
\mathnet{http://mi.mathnet.ru/eng/rm4862}
\crossref{https://doi.org/10.1070/RM1973v028n02ABEH001536}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=404984}
\zmath{https://zbmath.org/?q=an:0259.42027|0273.42018}
Linking options:
https://www.mathnet.ru/eng/rm4862
https://doi.org/10.1070/RM1973v028n02ABEH001536
https://www.mathnet.ru/eng/rm/v28/i2/p65
This publication is cited in the following 27 articles: