Results 61 to 70 of about 8,384 (123)
Stability of exponential bases on d- dimensional domains [PDF]
, 2014 We find explicit stability bounds for exponential Riesz bases on domains of R^d. Our results generalize Kadec theorem and other stability theorems in the literature.Comment: We have discovered an error in Theorem 1.
Carli, Laura De, Santosh Pathak
core
Exponential Riesz bases, discrepancy of irrational rotations and BMO
, 2011 We study the basis property of systems of exponentials with frequencies belonging to 'simple quasicrystals'. We show that a diophantine condition is necessary and sufficient for such a system to be a Riesz basis in L^2 on a finite union of intervals. For
Kozma, Gady, Lev, Nir
core +1 more source
Combining Riesz bases in $\mathbb R^d$
Revista Matemática Iberoamericana, 2016 We prove that every finite union of rectangles with edges parallel to the axes in \mathbb R^d admits a Riesz basis of exponentials.
Gady Kozma, Shahaf Nitzan
openaire +1 more source
ON COMPLETE RIESZ–FISCHER SEQUENCES IN A HILBERT SPACE
Проблемы анализаWe 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
Abstract and Applied Analysis, 2011 This paper is concerned with analyzing the mathematical properties, such as the regularity and stability of nonstationary biorthogonal wavelet systems based on exponential B-splines.
Yeon Ju Lee, Jungho Yoon
doaj +1 more source
A quantitative Balian-Low theorem
, 2012 We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such functions.
Nitzan, Shahaf, Olsen, Jan-Fredrik
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The aim of this paper is prove a theorem on the Riesz mean of expansions with respect to Riesz bases, which extends the previous results of Loi and Tahir on the Schrodinger operator to the operator of 4-th order.
M. B. Tahir, A. A. Aswhad
doaj
Riesz Bases of Root Vectors of Indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions, I [PDF]
, 2007 We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions, one being affinely dependent on the eigenparameter.
Binding, Paul, Ćurgus, Branko
core +5 more sources
Three problems on exponential bases
, 2018 We consider three special and significant cases of the following problem. Let D be a (possibly unbounded) set of finite Lebesgue measure in R^d. Find conditions on D for which the standard exponential basis on the unit cube of R^d is a frame, a Riesz ...
De Carli, Laura +2 more
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Discrete Subspace Multiwindow Gabor Frames and Their Duals
Abstract and Applied Analysis, 2013 This paper addresses discrete subspace multiwindow Gabor analysis. Such a scenario can model many practical signals and has potential applications in signal processing.
Yun-Zhang Li, Yan Zhang
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