Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series

Lee, Tuo-Yeong

Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 1-38

Abstract (VO)

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.

Détail

DOI : 10.1007/s10587-013-0001-9

Classification : 26A39, 42A32, 42B05
Keywords: Henstock-Kurzweil integral; regularly convergent multiple series

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