Results 171 to 180 of about 714 (196)
Riesz Bases of Reproducing Kernels in Small Fock Spaces [PDF]
Journal of Fourier Analysis and Applications, 2020 International audienceWe give a complete characterization of Riesz bases of normalized reproducing kernels in the small Fock spaces $\mathcal{F}^2_{\varphi}$, the spaces of entire functions $f$ such that $f\mathrm{e}^{-\varphi} \in L^{2}(\mathbb{C ...
Kellay, Karim, Omari, Youssef
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2013
The paper concerns frame multipliers when one of the involved sequences is a Riesz basis. We determine the cases when the multiplier is well defined and invertible, well defined and not invertible, respectively not well defined.
Diana T. Stoeva, Peter Balazs
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The paper concerns frame multipliers when one of the involved sequences is a Riesz basis. We determine the cases when the multiplier is well defined and invertible, well defined and not invertible, respectively not well defined.
Diana T. Stoeva, Peter Balazs
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An Introduction to Frames and Riesz Bases [PDF]
, 2003 This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems.
Christensen, Ole
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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
Stefan Held +3 more
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2003
As we have seen, a frame {f k } k=1 ∞ in a Hilbert space H has one of the main properties of a basis: given f ∈ H, there exist coefficients {c k } k=1 ∞ ∈ l 2(ℕ) such that f = ∑ k=1 ∞ c k f k . This makes it natural to study the relationship between frames and bases. We have already seen that Riesz bases are frames.
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As we have seen, a frame {f k } k=1 ∞ in a Hilbert space H has one of the main properties of a basis: given f ∈ H, there exist coefficients {c k } k=1 ∞ ∈ l 2(ℕ) such that f = ∑ k=1 ∞ c k f k . This makes it natural to study the relationship between frames and bases. We have already seen that Riesz bases are frames.
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Edge Detection Based on Riesz Transform
2016In this paper, we present a new way of 2D feature extraction. We start by showing the direct link that exist between the Riesz Transform (RT) and the gradient and Laplacian operators. This formulation allows us to interpret the RT as a gradient of a smoothed image.
Ahror Belaid +2 more
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Proceedings of the American Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Riesz Means of Expansions by Riesz Bases Formed by Eigenfunctions of the Schrödinger Operator
Periodica Mathematica Hungarica, 1987The author proves a result on the convergence of Riesz means of expansions with respect to Riesz bases \(\{u_ k\}\) of \(\sigma_ k\)-th order eigenfunctions of a nonself-adjoint one-dimensional Schrödinger operator on a bounded interval. The result extends earlier results of \textit{I. Joó} and \textit{V. Komornik} [Acta. Sci. Math.
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Nearness of the Riesz bases to orthonormal bases in a Hilbert space
Journal of Soviet Mathematics, 1984Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 127, 201-208 (Russian) (1983; Zbl 0519.46014).
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Riesz bases of exponentials for partitions of intervals
2019 13th International conference on Sampling Theory and Applications (SampTA), 2019For a partition of [0, 1] with nodes 0 = a 0 1 n–1 n = 1, we construct a partition of ℤ, Λ 1 , Λ 2 ,…, Λ n such that ℰ(Λ j ) is a Riesz basis for L2[a j–1 , a j ]. Our construction also guarantees that ${\mathcal{E}}\left( { \cup _{j = 1}^k{\Lambda _j}} \right)$ is a Riesz basis for L2[0, a k ], and ${\mathcal{E}}\left( { \cup _{j = k + 1}^n ...
Walnut, David +2 more
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