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On the Stability of Frames and Riesz Bases
Applied and Computational Harmonic Analysis, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Favier, S.J., Zalik, R.A.
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Characterizing Riesz bases via biorthogonal Bessel sequences
Carpathian Mathematical Publications, 2023 Recently D.T. Stoeva proved that if two Bessel sequences in a separable Hilbert space $\mathcal H$ are biorthogonal and one of them is complete in $\mathcal H$, then both sequences are Riesz bases for $\mathcal H$. This improves a well known result where completeness is assumed on both sequences. In this note we present an alternative proof of ...
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Riesz bases generated by the spectra of Sturm-Liouville problems
Electronic Journal of Differential Equations, 2013 Let ${lambda _n^2} _{n = 0}^infty$ be the spectra of a Sturm-Liouville problem on $[0,pi ]$. We investigate the question: Do the systems ${ cos(lambda_nx)} _{n = 0}^infty$ or ${ sin(lambda_n x)} _{n = 0}^infty$ form Riesz bases in ${L^2}[0,pi ]$? The
Tigran Harutyunyan +2 more
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1D nonnegative Schrodinger operators with point interactions [PDF]
Математичні Студії, 2013 Let $Y$ be an infinite discrete set of points in $dR$,satisfying the condition $inf{|y-y'|,; y,y'in Y, y'ey}>0.$ In the paper we prove that the systems${delta(x-y)}_{yin Y}, ;{delta'(x-y)}_{yin Y},{delta(x-y),;delta'(x-y)}_{yin Y}$ {form Riesz} bases in ...
Yu. G. Kovalev
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The motion planning problem and exponential stabilization of a heavy chain. Part II [PDF]
Opuscula Mathematica, 2008 This is the second part of paper [P. Grabowski, The motion planning problem and exponential stabilization of a heavy chain. Part I, to appear in International Journal of Control], where a model of a heavy chain system with a punctual load (tip mass) in ...
Piotr Grabowski
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Unions of exponential Riesz bases
AIMS Mathematics<p>We have developed new methods for constructing exponential Riesz bases by combining existing ones. These methods involve taking unions of frequency sets and domains respectively, offering easier construction compared to known techniques. Along with examples illustrating our methods, we also provide several examples that highlight the intricate
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Wavelet Riesz bases associated to nonisotropic dilations
, 2015 14 pages, 3 ...
Führ, Hartmut, Maus, Yannic
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Riesz bases for p-subordinate perturbations of normal operators
Journal of Functional Analysis, 2010 For p-subordinate perturbations of unbounded normal operators, the change of the spectrum is studied and spectral criteria for the existence of a Riesz basis with parentheses of root vectors are established. A Riesz basis without parentheses is obtained under an additional a priori assumption on the spectrum of the perturbed operator.
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Steerable Wavelet Frames Based on the Riesz Transform
IEEE Transactions on Image Processing, 2010We consider an extension of the 1-D concept of analytical wavelet to n-D which is by construction compatible with rotations. This extension, called a monogenic wavelet, yields a decomposition of the wavelet coefficients into amplitude, phase, and phase direction. The monogenic wavelet is based on the hypercomplex monogenic signal which is defined using
Martin Storath
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