Results 11 to 20 of about 223,909 (283)
Almost everywhere convergence of prolate spheroidal series [PDF]
Illinois Journal of Mathematics, 2020 In this paper, we show that the expansions of functions from $L^p$-Paley-Wiener type spaces in terms of the prolate spheroidal wave functions converge almost everywhere for ...
Philippe Jaming, Michael Speckbacher
semanticscholar +5 more sources
Order convergence and convergence almost everywhere revisited [PDF]
, 2010 In Analysis two modes of non-topological convergence are interesting: order convergence and convergence almost everywhere. It is proved here that oder convergence of sequences can be induced by a limit structure, even a finest one, whenever it is ...
Preuß, Gerhard
core +3 more sources
Wavelets: convergence almost everywhere [PDF]
Mathematical communications, 1996 It has been proved in [7], using the Carleson-Hunt theorem on the pointwise convergence of Fourier series, that the wavelet inversion formula is valid pointwise for all L^p -functions, and also without restrictions on ...
H. Šikić
core +5 more sources
On almost-everywhere convergence of Malmquist-Takenaka Series [PDF]
Journal of Functional Analysis, 2021 We prove L P bounds for the maximal partial sum operator of the Malmquist- Takenaka series under additional assumptions on the zeros of the Mobius transforms. We locate the problem in the time-frequency setting and, in particular, we connect it to the polynomial Carleson theorem.
G. Mnatsakanyan
semanticscholar +3 more sources
Some applications of the Menshov–Rademacher theorem
Comptes Rendus. Mathématique, 2021 Given a sequence $(X_n)$ of real or complex random variables and a sequence of numbers $(a_n)$, an interesting problem is to determine the conditions under which the series $\sum _{n=1}^\infty a_n X_n$ is almost surely convergent.
Mukeru, Safari
doaj +1 more source
Generalization and new proof for almost everywhere convergence to imply local convergence in measure [PDF]
Journal of Interdisciplinary Mathematics, 2020 With a new proof approach we prove in a more general setting the classical convergence theorem that almost everywhere convergence of measurable functions on a finite measure space implies convergence in measure.
Yu-Lin Chou
semanticscholar +1 more source
Arabian Journal of Mathematics, 2021 In the present paper, we prove the almost everywhere convergence and divergence of subsequences of Cesàro means with zero tending parameters of Walsh–Fourier series.
G. Gát, U. Goginava
semanticscholar +1 more source
Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]
Opuscula Mathematica, 2014 We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem.
Tomasz Człapiński
doaj +1 more source
ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES
Ural Mathematical Journal, 2017 We consider one type of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the \(\lambda \)-convergence for \(\lambda >1\).
Nikolai Yu. Antonov
doaj +1 more source
Almost everywhere convergence of inverse Fourier transforms [PDF]
Proceedings of the American Mathematical Society, 2005 We show that if log ( 2 − Δ ) f ∈ L 2 ( R d ) \log (2-\Delta )f\in L^2({\mathbb R}^d) , then the inverse Fourier transform of f f converges ...
Colzani, L, Meaney, C, PRESTINI, ELENA
openaire +3 more sources