Back to Search
Start Over
On the uniqueness and integrability of multiple trigonometric series.
- Source :
-
Mathematical Notes . Dec2009, Vol. 86 Issue 5/6, p716-728. 13p. - Publication Year :
- 2009
-
Abstract
- Under minimal constraints on the coefficients, we prove uniqueness theorems for multiple trigonometric series in which, instead of pointwise convergence, we consider the convergence of integral means of spherical, cubic, and other partial sums. We also obtain sufficient conditions for the integrability of multiple trigonometric series, i.e., conditions under which these series are Fourier series. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 86
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 47279475
- Full Text :
- https://doi.org/10.1134/S0001434609110145