Results 11 to 20 of about 8,503 (184)
Inventiones Mathematicae, 2014 We show that any finite union of intervals supports a Riesz basis of ...
Kozma, Gady, Nitzan, Shahaf
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Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces
Journal of Function Spaces and Applications, 2013 Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators.
Xunxiang Guo
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Construction and Stability of Riesz Bases
Journal of Function Spaces, 2018 We construct some new Riesz bases and consider the stability of them. The investigation is based on the stability of Riesz bases of cosines and sines in the Hilbert space L2[0,π].
Yulin Bai +3 more
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Applied and Computational Harmonic Analysis, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Han
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Pseudo-bosons, Riesz bases and coherent states [PDF]
Journal of Mathematical Physics, 2010 In a recent paper, Trifonov suggested a possible explicit model of a PT-symmetric system based on a modification of the canonical commutation relation.
Bagarello F., F. Bagarello, Young R.
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Advances in Mathematics, 2014 Let S be a bounded, Riemann measurable set in R^d, and L be a lattice. By a theorem of Fuglede, if S tiles R^d with translation set L, then S has an orthogonal basis of exponentials. We show that, under the more general condition that S multi-tiles R^d with translation set L, S has a Riesz basis of exponentials.
Sigrid Grepstad, Nir Lev
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Multi-tiling sets, Riesz bases, and sampling near the critical density in LCA groups [PDF]
Advances in Mathematics, 2015 We prove the existence of sampling sets and interpolation sets near the critical density, in Paley Wiener spaces of a locally compact abelian (LCA) group G .
Agora, Elona +2 more
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Riesz Bases and Multiresolution Analyses
Applied and Computational Harmonic Analysis, 1999 In this paper the author constructs a family of wavelet Riesz bases of compact support and arbitrary degree of smoothness, that cannot be obtained through a multiresolution analysis. The family is obtained by perturbing the orthonormal Haar wavelet with B-splines, giving thus a symmetric wavelet in closed form. The author also obtains several necessary
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Wireless Multicarrier Communications via Multipulse Gabor Riesz Bases [PDF]
EURASIP Journal on Advances in Signal Processing, 2006 We introduce multipulse multicarrier (MPMC) modulation, a wireless communication scheme that augments traditional single-pulse multicarrier systems by using multiple pulses at the transmitter and the receiver. The mathematical foundation of MPMC systems
Matz Gerald +2 more
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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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