Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series
Tuo-Yeong Lee (2013)
Czechoslovak Mathematical Journal
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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.