Results 91 to 100 of about 1,296 (214)

On a conjecture about MRA Riesz wavelet basis

open access: yes, 2004
. Let φ be a compactly supported refinable function in L2(R) such that the shifts of φ are stable and ˆ φ(2ξ) = â(ξ) ˆ φ(ξ) for a 2π-periodic trigonometric polynomial â. A wavelet function ψ can be derived from φ by ˆ ψ(2ξ):= e −iξ â(ξ + π) ˆ φ(ξ). If
Bin Han
core  

An Explicit Structure for Duals of Frames in Krein Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this study, motivating the explanation of Esmeral, Ferrer, and Wagner, similar findings regarding frames in Hilbert spaces were attempted to be extended to Krein spaces.
Elnaz Osgooei, Asghar Rahimi
doaj   +1 more source

© Hindawi Publishing Corp. RIESZ BASIS PROPERTY OF TIMOSHENKO BEAMS WITH BOUNDARY FEEDBACK CONTROL

open access: yes, 2001
A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of
De-xing Feng, Gen-qi Xu, Siu-pang Yung
core  

Riesz basis and exponential stability for Euler-bernoulli beams with variable coefficients and indefinite damping under a force control in position and velocity

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the Riesz basis property and the stability of a damped Euler-Bernoulli beam with nonuniform thickness or density, that is clamped at one end and is free at the other.
K. Augustin Toure   +2 more
doaj  

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

Control of Wave and Beam PDEs [electronic resource] : The Riesz Basis Approach /

open access: yes
Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs).
SpringerLink (Online service)   +2 more
core   +1 more source

Continuous Riesz bases in Hilbert C*-modules

open access: yes, 2022
The paper is devoted to continuous frames and Riesz bases in Hilbert C*-modules. we define a continuous Riesz basis for Hilbert C*-modules and give some results about them.Comment: arXiv admin note: substantial text overlap with arXiv:2208 ...
Ghasemi, Hadi, Shateri, Tayebe Lal
core  

Riesz bases of exponentials for finite unions of intervals [PDF]

open access: yes, 2022
I denne oppgaven studerer vi Riesz-basiser av eksponentialfunksjoner for rommet $L^2(\Omega)$, der $\Omega \subset \bb{R}^d$. Hovedfokuset i oppgaven er å presentere Kozma og Nitzan sitt bevis for at det finnes en Riesz-basis av eksponentialfunksjoner ...
Instanes, Sarah May
core  

On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

open access: yesAbstract and Applied Analysis, 2015
We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1]
Alp Arslan Kıraç
doaj   +1 more source

The nonlocal problem for the differential-operator equation of the even order with the involution

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij   +3 more
doaj   +1 more source

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