Results 11 to 20 of about 1,296 (214)
Riesz basis property of Timoshenko beams with boundary feedback control [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 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 +2 more
doaj +7 more sources
Generalized Riesz basis property in the analysis of neutral type systems [PDF]
Comptes Rendus. Mathématique, 2003 The functional differential equation of neutral type is studied. We consider the corresponding operator model in Hilbert space M 2 =
Rabah, Rabah +2 more
openaire +5 more sources
Riesz Basicity for General Systems of Functions [PDF]
Journal of Function Spaces, 2014 In this paper we find the general conditions for a complete biorthogonal conjugate system to form a Riesz basis. We show that if a complete biorthogonal conjugate system is uniformly bounded and its coefficient space is solid, then the system forms a ...
A. M. Sarsenbi, P. A. Terekhin
doaj +2 more sources
Riesz Basis in de Branges Spaces of Entire Functions
, 2022 In this paper we consider the problem of Riesz basis in de Branges spaces of entire functions H(E) with the condition that ϕ'(x) ≥ α > 0, where ϕ is the corresponding phase function. We are concerned with the sets of real numbers {λn} such that the normalized reproducing kernels k(λn, .)/||k(λn, .)|| satisfies the restricted isometry property, which
Al-Sa'di, Sa'ud, Obiedat, Hamed M.
openaire +2 more sources
A New Approach to Continuous Riesz Bases [PDF]
Journal of Sciences, Islamic Republic of Iran, 2013 This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis.
A.A. Arefijamaal +3 more
doaj +1 more source
Riesz basis of exponentials for multi-tiling measures
, 2022 From literature in the study of Fourier series and spectrality in the weaker setting of Riesz bases and frames of exponentials, it is known that a multi-tile by a discrete lattice permits a Riesz basis of exponentials with a spectrum from a finite union ...
Alexander Sheynis
openaire +3 more sources
Riesz basis property of the generalized eigenvector system of a Timoshenko beam [PDF]
IMA Journal of Mathematical Control and Information, 2004 A Riesz basis consists of a family of generalized eigenvectors which span a Hilbert space. In the article under review these are the eigenvectors of the Timoshenko beam equation. The authors consider the classical form of the Timoshenko equation with a boundary control.
Gen-Qi Xu, De-Xing Feng, Siu-Pang Yung
openaire +4 more sources
Riesz basis of Coifman and Meyer's local sine and cosine type
Journal of Mathematical Analysis and Applications, 2003 The author finds a Riesz basis for \(L^2(\mathbb{R})\) of the form \(\{b_{I_k}(x) \sin \lambda_k x\}\), with \(b_{I_k}(x)\) Bell functions, by perturbing the local sine and cosine orthonormal bases of Coifman and Meyer.
Chung, Min
openaire +3 more sources
Riesz bases and positive operators on Hilbert space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product on H in which it is an orthonormal basis, thereby extending the sense ...
James R. Holub
doaj +2 more sources
Riesz basis property of serially connected Timoshenko beams
International Journal of Control, 2007 In this paper we study the Riesz basis property of serially connected Timoshenko beams with joint and boundary feedback controls. Suppose that the left end of the whole beam is clamped and the right end is free. At intermediate nodes, the displacement and rotational angle of beams are continuous but the shearing force and bending moment could be ...
Gen-Qi Xu, Zhong-Jie Han, Siu-Pang Yung
openaire +4 more sources