Results 281 to 290 of about 1,225,050 (328)

Pointwise convergence of the non-linear Fourier transform

Annals of Mathematics, 2021
We prove pointwise convergence for the scattering data of a Dirac system of differential equations. Equivalently, we prove an analog of Carleson's theorem on almost everywhere convergence of Fourier series for a version of the non-linear Fourier ...
A. Poltoratski
semanticscholar   +1 more source

Pointwise I-convergence and I-convergence in measure of sequences of functions

Journal 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
exaly   +2 more sources

Quasicontinuous functions and the topology of pointwise convergence

, 2020
Let X be a Hausdorff topological space and let Q ( X , R ) be the space of all quasicontinuous functions on X with values in R and τ p be the topology of pointwise convergence. We prove that Q ( X , R ) is dense in R X equipped with the product topology.
L. Holá, D. Holý
semanticscholar   +1 more source

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.
openaire   +2 more sources

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 Along Restricted Directions for the Fractional Schrödinger Equation

Journal of Fourier Analysis and Applications, 2019
We consider the pointwise convergence problem for the solution of Schrödinger-type equations along directions determined by a given compact subset of the real line.
Shobu Shiraki
semanticscholar   +1 more source

A Note on Pointwise Convergence

Acta Mathematica Hungarica, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Pointwise Convergence of the Calderón Reproducing Formula

Journal of Fourier Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kangwei Li, Wenchang Sun
exaly   +3 more sources

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 ...
openaire   +3 more sources

Pointwise and Ergodic Convergence Rates of a Variable Metric Proximal Alternating Direction Method of Multipliers

Journal of Optimization Theory and Applications, 2018
Max L N Gonçalves, M Marques Alves, Jefferson G Melo   +2 more
exaly   +2 more sources