WebIt may help if you unfold the definition of limit in pointwise convergence. Then pointwise convergence means that for each x and ϵ you can find an N such that (bla bla bla). Here the N is allowed to depend both on x and ϵ. In uniform …

Pointwise convergence of sequential Schrödinger means

WebOur main theorem is a fractal $L^2$ restriction estimate, which also gives improved results on the size of the divergence set of the Schrödinger solutions, the Falconer distance set problem and the spherical average Fourier decay rates of fractal measures. Web4. Convergence using the Abel mean The issues surrounding the convergence of the Fourier series are not straight-forward. The Fourier series of a function integrable on [ ˇ;ˇ] does not converge pointwise to the function itself since the derivation of Fourier coe cients is done through integration. For example, consider this piecewise-de ned ... greenwich dental referral practice

[1809.03246] Pointwise convergence of the fractional Schrödinger ...

WebIn this paper, we investigate the probabilistic pointwise convergence problem of Schrödinger equation on the manifolds. We prove probabilistic pointwise convergence of the solutions to Schrödinger equations with the initial data in L 2 ( T n), where T = [ 0, 2 π), which require much less regularity for the initial data than the rough data case. Web11 de abr. de 2024 · On pointwise convergence of Schrödinger means. Mathematika 66 , 356–372 (2024) Article MathSciNet MATH Google Scholar Web1 de mar. de 2024 · Almost everywhere convergence on the solution of Schrödinger equation is an important problem raised by Carleson, which was essentially solved by Du … foam atc extinguisher