Results 71 to 80 of about 223,909 (283)
An "Analytic" Version of Menshov's Representation Theorem
, 2005 Every measurable function f on the circle can be represented as a sum of harmonics with positive spectrum, converging in measure. For convergence almost everywhere this is not true.
Kozma, Gady, Olevskii, Alexander
core +1 more source
Almost everywhere convergence for sequences of continuous functions [PDF]
Proceedings of the American Mathematical Society, 1975 The main result in this paper is the following theorem. Theorem 1.1. Let { y k } , y k : I → R \{ yk\} ,yk:I \to R , be a sequence of continuous real valued functions defined on the bounded interval I I . Let D
Schrader, K., Umamaheswaram, S.
openaire +2 more sources
Joint Estimation and Bandwidth Selection in Partially Parametric Models
Journal of Applied Econometrics, EarlyView.ABSTRACT We propose a single‐step approach to estimating a model with both a known nonlinear parametric component and an unknown nonparametric component. We study the large sample behavior of a simultaneous optimization routine that estimates both the parameter vector of the parametric component and the bandwidth vector used to smooth the unknown ...
Daniel J. Henderson +2 more
wiley +1 more source
Almost everywhere convergence of series
Mathematische Annalen, 1988 Let (X,\(\beta\),m) be a probability space and let \(T: L_ 2(X)\to L_ 2(X)\) be a contraction. The series \(\sum ^{\infty}_{n=1}c_ nT^ n\) converges in norm if \(\sum ^{\infty}_{n=1}c_ n\exp (2\pi inx)\) converges uniformly. But also there are many examples of \((c_ n)\) for which \(\sum ^{\infty}_{n=1}| c_ n| =\infty\) and yet the series \(\sum ...
openaire +2 more sources
Count Data Models With Heterogeneous Peer Effects Under Rational Expectations
Journal of Applied Econometrics, EarlyView.ABSTRACT This paper develops a peer effect model for count responses under rational expectations. The model accounts for heterogeneity in peer effects across groups based on observed characteristics. Identification is based on the linear model condition that requires the presence of friends of friends who are not direct friends.
Aristide Houndetoungan
wiley +1 more source
Almost everywhere continuity of conditional expectations
Modern Stochastics: Theory and ApplicationsA necessary and sufficient condition on a sequence ${\{{\mathcal{A}_{n}}\}_{n\in \mathbb{N}}}$ of σ-subalgebras which assures convergence almost everywhere of conditional expectations for functions in ${L^{\infty }}$ is given. It is proven that for $f\in
Alberto Alonso, Fernando Brambila-Paz
doaj +1 more source
Dispersion‐Less Dissipative Soliton Fiber Laser
Laser &Photonics Reviews, EarlyView.A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed +2 more
wiley +1 more source
Fast Simulation of Wide‐Angle Coherent Diffractive Imaging
Laser &Photonics Reviews, EarlyView.The propagation multi‐slice Fourier transform method is introduced as an accurate and efficient approach for describing light scattering for arbitrarily shaped objects. Its exceptional suitability for simulating coherent diffractive imaging of nanoparticles in the XUV and soft X‐ray range is demonstrated.
Paul Tuemmler +3 more
wiley +1 more source
, 1997 The absolutely continuous spectrum of one-dimensional Schr\"odinger operators is proved to be stable under perturbation by potentials satisfying mild decay conditions.
Christ, Michael, Kiselev, Alexander
core +2 more sources
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, EarlyView.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source