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On Fourier Series on the Torus and Fourier Transforms.
- Source :
-
Mathematical Notes . 2021, Vol. 110 Issue 5/6, p767-772. 6p. - Publication Year :
- 2021
-
Abstract
- The question of the representability of a continuous function on in the form of the Fourier integral of a finite Borel complex-valued measure on is reduced in this article to the same question for a simple function. This simple function is determined by the values of the given function on the integer lattice . For , this result is already known: it is an inscribed polygonal line. The article also describes applications of the obtained theorems to multiple trigonometric Fourier series. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 110
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 154123352
- Full Text :
- https://doi.org/10.1134/S0001434621110134