Results 1 to 10 of about 8,384 (123)
$K$-orthonormal and $K$-Riesz Bases [PDF]
Sahand Communications in Mathematical Analysis, 2021 Let $K$ be a bounded operator. $K$-frames are ordinary frames for the range $K$. These frames are a generalization of ordinary frames and are certainly different from these frames. This research introduces a new concept of bases for the range $K$.
Ahmad Ahmdi, Asghar Rahimi
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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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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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Riesz-like bases in rigged Hilbert spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2015 The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged Hilbert space $\D[t] \subset \H \subset \D^\times[t^\times]$. A Riesz-like basis, in particular, is obtained by considering a sequence $\{\xi_n\}\subset \D$
Bellomonte, Giorgia, Trapani, Camillo
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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 of Port-Hamiltonian Systems [PDF]
SIAM Journal on Control and Optimization, 2021 The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a 1D spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that system operator generates a strongly continuous group.
Jacob, Birgit +2 more
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Biframes and some of their properties
Journal of Inequalities and Applications, 2022 Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting the frame operator and other applications of frames. In this paper, the concept of biframe is
Maryam Firouzi Parizi +2 more
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On Uncountable Frames and Riesz Bases in Nonseparable Banach Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 Some generalizations of Besselian, Hilbertian systems and frames in nonseparable Banach spaces with respect to some nonseparable Banach space $K$ of systems of scalars are considered in this work.
Migdad Ismailov
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Probabilistic logics based on Riesz spaces [PDF]
Logical Methods in Computer Science, 2020 We introduce a novel real-valued endogenous logic for expressing properties of probabilistic transition systems called Riesz modal logic. The design of the syntax and semantics of this logic is directly inspired by the theory of Riesz spaces, a mature field of mathematics at the intersection of universal algebra and functional analysis.
Furber, Robert +2 more
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