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Pointwise convergence, continuous convergence and even continuity in FNS

Fuzzy Sets and Systems, 2000
In the study of function space structures in fuzzy topology the concepts of pointwise convergence, continuous continuity and even continuity play the central role. Previously in a series of papers these concepts were defined for fuzzy convergence spaces and some related categories; these definitions were done in terms of prefilters [see e.g. \textit{E.
GÜNTHER Jäger
exaly   +3 more sources

Pointwise Convergence of the Calderón Reproducing Formula

Journal of Fourier Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenchang Sun, Kangwei Li
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Pointwise Convergence and Uniform Convergence of Wavelet Frame Series

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pointwise convergence and the Wadge hierarchy. [PDF]

open access: yes, 2001
Let \(X\) be a separable metrizable space. Let \(\mathcal C_p(X)\) (\(\mathcal C_p^*(X)\), respectively) be the space of real-valued continuous functions (bounded real-valued continuous functions, respectively) on \(X\). The space \(\mathcal C_p(X)\) with its Borel structure generated by the topology of pointwise convergence is considered as a subset ...
A. ANDRETTA, MARCONE, Alberto Giulio
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Pointwise I-convergence and I-convergence in measure of sequences of functions [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2008
Let I⊂P(N) be an ideal. We say that a sequence (yn)n∈N of real numbers is I-convergent to y∈R if for every neighborhood U of y the set of n's satisfying yn∉U is in I.
Andrzej Komisarski
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Pointwise Convergence of Alternating Sequences

Canadian Journal of Mathematics, 1988
Let 1 < p < ∞ and let Lp be the usual Banach Space of complex valued functions on a σ-finite measure space. Let (Tn), n ≧ 1, be a sequence of positive linear contractions on Lp. Hence and , where is the part of Lp that consists of non-negative Lp functions. The adjoint of Tn is denoted by which is a positive linear contraction of Lq with q = p/
Akcoglu, M. A., Sucheston, L.
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A Note on Pointwise Convergence

Acta Mathematica Hungarica, 1997
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POINTWISE CONVERGENCE OF FOURIER SERIES

Journal of the London Mathematical Society, 2002
A quasi-Banach space \(QA\) of a measurable functions \(f: \mathbb{T}:= [-\pi,\pi)\to \mathbb{C}\) is defined in the paper under review by the requirement that the quantity \[ \|f\|_{QA}:= \inf\Biggl\{\sum^\infty_{j=1}(1+\log j)\|f_j\|_1\log\Biggl( {e\|f_j\|_\infty\over\|f_j\|_1}\Biggr):|f|\leq \sum^\infty_{j=1} f_j,\;f_j\geq 0\Biggr\} \] is finite ...
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Pointwise and Uniformly Convergent Sets of Matrices

SIAM Journal on Matrix Analysis and Applications, 1999
Conditions for pointwise convergent and uniformly convergent sets of real \(n \times n\) matrices \(A_j\) are studied. The indexed set \(\mathcal{A}\) \(=\{A_j\}\) is pointwise convergent if for each \(x\in \mathbb{R}^n\) there is an index sequence \(\{p(x)_i\}^{\infty}_{i=1}\) such that \(\lim_{k \rightarrow \infty}((\prod^k_{i=1}A_{p(x)_i})x)=0\) and
Adam L. Cohen   +2 more
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Pointwise Convergence of Fourier Series

The Annals of Mathematics, 1973
In this paper, we present a new proof of a theorem of Carleson and Hunt: The Fourier series of an LP function on [0, 2J] converges almost everywhere (p > 1). (See [1], [51.) Our proof is very much in the spirit of the classical theorem of Kolmogoroff-Seliverstoff-Plessner [8].
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