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Results tagged with limits-and-convergence
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user 120369
Convergence of series, sequences and functions and different modes of convergence.
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Non-Archimedean Lebesgue dominated convergence theorem
In this paper, the authors explain that the full generality of the Lebesgue dominated convergence theorem holds for functions on a compact zero-dimensional space $X$ taking values in a metrically comp …
- 63.9k
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The Cauchy Transform, and the convergence of the Fourier-Stieltjes transforms of a sequence ...
Let $C\left(\mathbb{R}/\mathbb{Z}\right)$ denote the Banach space of continuous, $1$-periodic complex-valued functions on the unit interval, let $M\left(\mathbb{R}/\mathbb{Z}\right)$ denote its dual, …
- 1,284