Geodesic
Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 1-38.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We establish two new norm convergence theorems for Henstock-Kurzweil integrals. In particular, we provide a unified approach for extending several results of R. P. Boas and P. Heywood from one-dimensional to multidimensional trigonometric series.
DOI : 10.1007/s10587-013-0001-9
Classification : 26A39, 42A32, 42B05
Keywords: Henstock-Kurzweil integral; regularly convergent multiple series 
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Lee, Tuo-Yeong. Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 1-38. doi : 10.1007/s10587-013-0001-9. http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0001-9/

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