Results 11 to 20 of about 2,291 (82)
Applications of the Wavelet Multiplicity Function [PDF]
Contemp. Math., vol 247, 1999, pp. 297-306, 1999 This paper examines the wavelet multiplicity function. An explicit formula for the multiplicity function is derived. An application to operator interpolation is then presented.
Weber, Eric
core +3 more sources
An inequality for bi-orthogonal pairs [PDF]
arXiv, 2009 We use Salem's method to prove that there is a lower bound for partial sums of series of bi-orthogonal vectors in a Hilbert space, or the dual vectors. This is applied to some lower bounds on $L^{1}$ norms for orthogonal expansions.
Meaney, Christopher
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Some new results on the weaving of K-g-frames in Hilbert spaces
Open Mathematics, 2021 In this paper, we provide some conditions for a K-woven pair of K-g-frames to be preserved under an operator and particularly, we report that applying two different operators to a K-woven pair of K-g-frames can leave them K-woven.
Xiang Zhong-Qi
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Frames associated with shift invariant spaces on positive half line
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper, we introduce the notion of Walsh shift-invariant space and present a unified approach to the study of shift-invariant systems to be frames in L2(ℝ+).
Ahmad Owais, Ahmad Mobin, Ahmad Neyaz
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Controlled K-Fusion Frame for Hilbert Spaces
Moroccan Journal of Pure and Applied Analysis, 2021 K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia +2 more
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Relay fusion frames in Banach spaces
Open Mathematics, 2023 The relay fusion frames have been recently introduced in Hilbert spaces to model sensor relay networks and distributed sensor relay systems, which are deeply connected with compressed sensing.
Hong Guoqing, Li Pengtong
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Instantaneous Frequency-Embedded Synchrosqueezing Transform for Signal Separation
Frontiers in Applied Mathematics and Statistics, 2022 The synchrosqueezing transform (SST) and its variants have been developed recently as an alternative to the empirical mode decomposition scheme to model a non-stationary signal as a superposition of amplitude- and frequency-modulated Fourier-like ...
Qingtang Jiang +3 more
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Controlled Continuous g-Frames in Hilbert C*-Modules
Moroccan Journal of Pure and Applied Analysis, 2020 Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert C*-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous g-Frames in Hilbert C ...
Kabbaj S., Labrigui H., Touri A.
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OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS
Forum of Mathematics, Sigma, 2020 We provide a general program for finding nice arrangements of points in real or complex projective space from transitive actions of finite groups. In many cases, these arrangements are optimal in the sense of maximizing the minimum distance.
JOSEPH W. IVERSON +2 more
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Biorthogonal multiresolution analyses and decompositions of Sobolev spaces
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 9, Page 517-534, 2001., 2001 The object of this paper is to construct extension operators in the Sobolev spaces Hk(]−∞, 0]) and Hk([0, +∞[)(k ≥ 0). Then we use these extensions to get biorthogonal wavelet bases in Hk(ℝ). We also give a construction in L2([−1, 1]) to see how to obtain boundaries functions.
Abdellatif Jouini, Khalifa Trimèche
wiley +1 more source