Results 101 to 110 of about 8,503 (184)
Characterizing Riesz bases via biorthogonal Bessel sequences
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
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
doaj
On the relation of the frame-related operators of fusion frame systems. [PDF]
Köhldorfer L, Balazs P.
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1D nonnegative Schrodinger operators with point interactions [PDF]
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
doaj
FUNCTIONAL SUFFICIENT DIMENSION REDUCTION THROUGH AVERAGE FRÉCHET DERIVATIVES. [PDF]
Lee KY, Li L.
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Localization of Fréchet Frames and Expansion of Generalized Functions. [PDF]
Pilipović S, Stoeva DT.
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The motion planning problem and exponential stabilization of a heavy chain. Part II [PDF]
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
doaj
Unions of exponential Riesz bases
<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
14 pages, 3 ...
Führ, Hartmut, Maus, Yannic
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