Results 31 to 40 of about 21,050 (203)

On R-duals and the duality principle in Gabor analysis [PDF]

, 2014
The concept of R-duals of a frame was introduced by Casazza, Kutyniok and Lammers in 2004, with the motivation to obtain a general version of the duality principle in Gabor analysis.
AJEM Janssen, D Dutkay, Diana T. Stoeva, I Daubechies, I Daubechies, K Gröchenig, O Christensen, O Christensen, O Christensen, Ole Christensen, PG Casazza, R Balan, R Young, XM Xiao   +13 more
core   +1 more source

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

Karpatsʹkì 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, I.Ya. Ivasiuk, P.I. Kalenyuk, A.V. Solomko   +3 more
doaj   +1 more source

Riesz basis for strongly continuous groups

Journal of Differential Equations, 2010
17 ...
openaire   +5 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 '(x) > 0, where is the corresponding phase function. We are concerned with the sets of real numbers { n} such that the normalized reproducing kernels k( n, .)/||k( n, .)|| satisfies the restricted isometry ...
Al-Sa'di, Sa'ud, Obiedat, Hamed M.
openaire   +1 more source

Splitting the Riesz basis condition for systems of dilated functions]{Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series

, 2021
20 ...
Antezana, Jorge, Carando, Daniel, Scotti, Melisa   +2 more
openaire   +2 more sources

Riesz basis generation, eigenvalues distribution, and exponential stability for a euler-bernoulli beam with joint feedback control [PDF]

, 2001
Using an abstract result on Riesz basis generation for discrete operators in general Hilbert spaces, we show, in this article, that the generalized eigenfunctions of an Euler-Bernoulli beam equation ith oint linear feedback control form a Riesz basis for
Chan, K.Y., Guo, Bao-Zhu
core   +2 more sources

Riesz basis property of Hill operators with potentials in weighted spaces [PDF]

Transactions of the Moscow Mathematical Society, 2014
Consider the Hill operator $L(v) = - d^2/dx^2 + v(x) $ on $[0, ]$ with Dirichlet, periodic or antiperiodic boundary conditions; then for large enough $n$ close to $n^2 $ there are one Dirichlet eigenvalue $ _n$ and two periodic (if $n$ is even) or antiperiodic (if $n$ is odd) eigenvalues $ _n^-, \, _n^+ $ (counted with multiplicity).
Djakov, Plamen, Mityagin, Boris
openaire   +3 more sources

Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides

, 2012
We study the propagation of time-harmonic acoustic or transverse magnetic (TM) polarized electromagnetic waves in a periodic waveguide lying in the semi-strip $(0,\infty)\times(0,L)$.
Ammari, Ehrhardt, Figotin, Figotin, Figotin, Figotin, Figotin, Figotin, Figotin, Fliss, Fliss, Gohberg, Johnson, Kuchment, Kuchment, Lions, Nazarov, Sakoda, Schulz, Sobolev, Soussi, Steinberg, Yablonovitch   +22 more
core   +1 more source

Orthogonal polynomials and Riesz bases applied to the solution of Love's equation [PDF]

, 2016
In this paper we reinvestigate the structure of the solution of a well-known Love’s problem, related to the electrostatic field generated by two circular coaxial conducting disks, in terms of orthogonal polynomial expansions, enlightening the role of the
BERSANI, Alberto Maria, VELLUCCI, PIERLUIGI   +1 more
core   +1 more source

ON COMPLETE RIESZ–FISCHER SEQUENCES IN A HILBERT SPACE

Проблемы анализа
We prove that if {𝑓_𝑛}^\infty_{n=1} is a complete Riesz–Fischer sequence in a separable Hilbert space 𝐻, then 𝑇 :={𝑓 \in 𝐻 : \Sum ...
Elias Zikkos
doaj   +1 more source