Results 21 to 30 of about 1,225,050 (328)
Pointwise convergence and the Wadge hierarchy. [PDF]
, 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
openaire +3 more sources
Pointwise Convergence of Multiple Trigonometric Series
Journal of Mathematical Analysis and Applications, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, C.P., Wu, H.C., Moricz, F.
openaire +3 more sources
Sharp pointwise convergence on the Schrödinger operator along one class of curves [PDF]
Bulletin des Sciences Mathématiques, 2023 Almost everywhere convergence on the solution of Schr\"odinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang.
Zhenbin Cao, Changxing Miao
semanticscholar +1 more source
Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol [PDF]
Journal of Mathematical Analysis and Applications, 2021 We study the fractal pointwise convergence for the equation i~∂tu+P (D)u = 0, where the symbol P is real, homogeneous and non-singular. We prove that for initial data f ∈ H(R) with s > (n−α+1)/2 the solution u converges to f H-a.e, whereH is the α ...
Daniel Eceizabarrena, F. Ponce-Vanegas
semanticscholar +1 more source
Pointwise convergence along a tangential curve for the fractional Schrödinger equation [PDF]
, 2020 In this paper we study the pointwise convergence problem along a tangential curve for the fractional Schrodinger equations in one spatial dimension and estimate the capacitary dimension of the divergence set.
Chu-hee Cho, Shobu Shiraki
semanticscholar +1 more source
On the Pointwise Convergence of the Integral Kernels in the Feynman-Trotter Formula [PDF]
Communications in Mathematical Physics, 2019 We study path integrals in the Trotter-type form for the Schrödinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potential V in a class encompassing that—considered by Albeverio and Itô in ...
F. Nicola, S. I. Trapasso
semanticscholar +1 more source
POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES [PDF]
Forum of Mathematics, Sigma, 2018 We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $n\geqslant 3$ , $\lim _{t\rightarrow 0}e^{it\unicode[STIX]{x1D6E5}}f(x)$ $=f(x)$
Xiumin Du +3 more
semanticscholar +1 more source
A note on pointwise convergence for the Schrödinger equation [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2017 We consider Carleson's problem regarding pointwise convergence for the Schrödinger equation.
R. Lucà, K. Rogers
semanticscholar +1 more source
On pointwise a.e. convergence of multilinear operators [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2020 In this work, we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) the doubly truncated homogeneous singular integral operators associated with $L^q$ functions on the sphere and (b) lacunary multiplier ...
L. Grafakos +3 more
semanticscholar +1 more source
Pointwise Convergence of the Fractional Schrödinger Equation in $\mathbb{R}^2$ [PDF]
Taiwanese journal of mathematics, 2018 We investigate the pointwise convergence of the solution to the fractional Schrodinger equation in $\mathbb{R}^2$. By establishing $H^s(\mathbb{R}^2) - L^3(\mathbb{R}^2)$ estimates for the associated maximal operator provided that $s > 1/3$, we improve ...
Chu-hee Cho, Hyerim Ko
semanticscholar +1 more source