Results 21 to 30 of about 560 (182)

Riesz Basicity for General Systems of Functions

open access: yesJournal 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   +1 more source

Variation in the Oxidative State of Collared Flycatcher (<i>Ficedula albicollis</i>) Nestlings and Its Association With Their Plumage Coloration. [PDF]

open access: yesEcol Evol
Plumage coloration is widely recognized as an important component in intraspecific communication. Our aim was to examine the variation of oxidative parameters and their associations with the coloration of two different nestling plumage traits in collared flycatchers (Ficedula albicollis).
Kőmüves G   +5 more
europepmc   +2 more sources

A New Approach to Continuous Riesz Bases [PDF]

open access: yesJournal 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  

Comment on “Continuous g-Frame in Hilbert -Modules”

open access: yesAbstract and Applied Analysis, 2013
The continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that
Zhong-Qi Xiang
doaj   +1 more source

Riesz basis property of the generalized eigenvector system of a Timoshenko beam [PDF]

open access: yesIMA 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   +3 more sources

Riesz bases and positive operators on Hilbert space

open access: yesInternational 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   +1 more source

Adaptive Riesz Basis Decomposition For Image Search

open access: yes, 2009
Publication in the conference proceedings of EUSIPCO, Glasgow, Scotland ...
Capodiferro L   +4 more
openaire   +4 more sources

Frames Containing a Riesz Basis and Preservation of This Property Under Perturbations

open access: yesSIAM Journal on Mathematical Analysis, 1998
Aldroubi has shown how one can construct any frame $\gtu$ starting with one frame $\ftu $,using a bounded operator $U$ on $l^2(N)$. We study the overcompleteness of the frames in terms of properties of $U$. We also discuss perturbation of frames in the sense that two frames are ``close'' if a certain operator is compact.
Casazza, Peter G., Christensen, Ole
openaire   +3 more sources

Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert -Modules

open access: yesJournal of Applied Mathematics, 2013
We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert -modules, and then we study the equivalency relations between continuous g-frames in Hilbert -modules, and, in particular, we obtain ...
Zhong-Qi Xiang
doaj   +1 more source

The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_2(G)
Ya.O. Baranetskij   +3 more
doaj   +1 more source

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