Results 21 to 30 of about 3,767,508 (152)

Riesz Means on Locally Symmetric Spaces

open access: yesComplex Analysis and Operator Theory, 2022
We prove that for a certain class of $n$ dimensional rank one locally symmetric spaces, if $f \in L^p$, $1\leq p \leq 2$, then the Riesz means of order $z$ of $f$ converge to $f$ almost everywhere, for $\operatorname{Re}z> (n-1)(1/p-1/2).$
openaire   +2 more sources

The dyadic Riesz vector II [PDF]

open access: yes, 2023
We derive a dyadic model operator for the Riesz vector. We show linear upper $L^p$ bounds for $1 < p < \infty$ between this model operator and the Riesz vector, when applied to functions with values in Banach spaces.
Domelevo, Komla, Petermichl, Stefanie
core  

Fractional Schrödinger Equation in the Presence of the Linear Potential

open access: yesMathematics, 2016
In this paper, we consider the time-dependent Schrödinger equation: i ∂ ψ ( x , t ) ∂ t = 1 2 ( − Δ ) α 2 ψ ( x , t ) + V ( x ) ψ ( x , t ) , x ∈ R , t > 0 with the Riesz space-fractional derivative of order ...
André Liemert, Alwin Kienle
doaj   +1 more source

Riesz means on homogeneous trees [PDF]

open access: yesConcrete Operators, 2021
Abstract Let 𝕋 be a homogeneous tree. We prove that if f ∈ Lp (𝕋), 1 ≤ p ≤ 2, then the Riesz means Sz R (f) converge to f everywhere as R → ∞, whenever Re z > 0.
openaire   +4 more sources

A maximal Riesz-Kantorovich theorem with applications to markets with an arbitrary commodity set

open access: yesМатематичні Студії
By analyzing proofs of the classical Riesz-Kantorovich theorem, the Mazón-Segura de León theorem on abstract Uryson operators and the Pliev-Ramdane theorem on C-bounded orthogonally additive operators on Riesz spaces, we find the most general (to our ...
M. M. Popov, O. Z. Ukrainets
doaj   +1 more source

ON STRONG SUMMABILITY OF THE FOURIER SERIES VIA DEFERRED RIESZ MEAN

open access: yesПроблемы анализа
The strong summability technique has attracted a remarkably large number of researchers for better convergence analysis of infinite series as well as Fourier series in the study of summability theory.
J. Sahoo, B. B. Jena, S. K. Paikray
doaj   +1 more source

Convexity Theorems for Riesz Means

open access: yesTokyo Journal of Mathematics, 1991
In a previous note [Mem. Def. Acad. 5, 335--340 (1966; Zbl 0178.05801)], M. Riesz's classical convexity theorem was given a new generalization by the author. We refer to its review quotation (there, \(A^ k(x)\) denotes a Riesz \textit{sum} rather than mean). Theorem II of the present paper improves upon the former result in that the review's condition (
openaire   +2 more sources

Boundary Controllability and Observability of a Viscoelastic String [PDF]

open access: yes, 2012
In this paper we consider an integrodifferential system, which governs the vibration of a viscoelastic one-dimensional object. We assume that we can act on the system at the boundary and we prove that it is possible to control both the position and the ...
Avdonin S.   +8 more
core   +1 more source

Adaptive weight-modified Riesz mean filter for high-density salt-and-pepper noise removal

open access: yesJournal of Electrical Systems and Information Technology
This paper introduces a novel filter, the adaptive weight-modified Riesz mean filter (AWMRmF), designed for the effective removal of high-density salt-and-pepper noise.
Md Jahidul Islam
doaj   +1 more source

Forecast Evaluation for Functional Data

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT This paper proposes methods for comparing the accuracy of two competing sets of functional forecasts. This is increasingly relevant as many economic and financial forecasters are interested in predicting variables which are observed as functional data objects.
Jack Fosten   +3 more
wiley   +1 more source

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