Search Results - "CHANG EON SHIN"
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Stability for localized integral operators on weighted spaces of homogeneous type
Published in Mathematische Nachrichten (01-02-2023)“…Linear operators with off‐diagonal decay appear in many areas of mathematics including harmonic and numerical analysis, and their stability is one of the basic…”
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Stability of integral operators on a space of homogeneous type
Published in Mathematische Nachrichten (01-02-2017)“…In this paper, we consider integral operators T on compact spaces of homogeneous type with finite diameter, whose kernels KT have certain Hölder regularity and…”
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3
A Weighted OFDM Signal Scheme for Peak-to-Average Power Ratio Reduction of OFDM Signals
Published in IEEE transactions on vehicular technology (01-03-2013)“…In this paper, a peak-to-average-ratio (PAPR) reduction scheme based on a weighted orthogonal frequency-division multiplexing (OFDM) signal is proposed to…”
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Wiener’s lemma: localization and various approaches
Published in Applied Mathematics-A Journal of Chinese Universities (01-12-2013)“…Matrices and integral operators with off-diagonal decay appear in numerous areas of mathematics including numerical analysis and harmonic analysis, and they…”
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5
Nonuniform Sampling of Bandlimited Functions
Published in IEEE transactions on information theory (01-08-2008)“…In this correspondence, we show that a function in the Bernstein class B pi p (1 les p les infin) can be reconstructed in the Lagrange interpolation form with…”
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Norm-Controlled Inversion of Banach algebras of infinite matrices
Published in Comptes rendus. Mathématique (01-07-2020)“…In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra ${\mathcal{B}}(\ell ^q)$,…”
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7
Stability of Localized Integral Operators on Normal Spaces of Homogeneous Type
Published in Numerical functional analysis and optimization (04-04-2019)“…The L p -stability of linear operators is one of fundamental concepts in many research fields. In this article, we introduce a family of localized integral…”
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Polynomial Control on Weighted Stability Bounds and Inversion Norms of Localized Matrices on Simple Graphs
Published in The Journal of fourier analysis and applications (01-10-2021)“…The (un)weighted stability for some matrices on a graph is one of essential hypotheses in time-frequency analysis and applied harmonic analysis. In the first…”
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Stability of localized operators
Published in Journal of functional analysis (15-04-2009)“…Let ℓ p , 1 ⩽ p ⩽ ∞ , be the space of all p-summable sequences and C a be the convolution operator associated with a summable sequence a. It is known that the…”
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10
General sampling theorem using contour integral
Published in Journal of mathematical analysis and applications (01-03-2004)“…We present the sampling theorem with sampling functions of general form for entire functions satisfying one of the growth conditions 1+|y| f(z) ⩽A 1+|z| N 1…”
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11
Fourier transforms via heat kernel
Published in Integral transforms and special functions (01-08-2004)“…Making use of the heat kernel method which represents various generalized functions as initial values of the solutions of the heat equation, we interpret the…”
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12
Wiener’s lemma for singular integral operators of Bessel potential type
Published in Monatshefte für Mathematik (2014)“…In this paper, we introduce an algebra of singular integral operators containing Bessel potentials of positive order, and show that the corresponding unital…”
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Stability of Localized Operators
Published 11-11-2008“…Journal of Functional Analysis, Volume 256, Issue 8, 15 April 2009, Pages 2417-2439 Let $\ell^p, 1\le p\le \infty$, be the space of all $p$-summable sequences…”
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14
Stability of Localized Integral Operators on Weighted L p Spaces
Published in Numerical functional analysis and optimization (01-07-2012)“…In this article, we consider localized integral operators whose kernels have mild singularity near the diagonal and certain Hölder regularity and decay off the…”
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15
On Sylvester equations in Banach subalgebras
Published 12-07-2024“…Let ${\mathcal B}$ be a Banach algebra and ${\mathcal A}$ be its Banach subalgebra that admits a norm-controlled inversion. In this work, we take $A, B$ in the…”
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Differential subalgebras and norm-controlled inversion
Published 19-11-2019“…In this paper, we consider the norm-controlled inversion for differential $*$-subalgebras of a symmetric $*$-algebra with common identity and involution…”
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18
Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs
Published 18-09-2019“…The (un)weighted stability for some matrices is one of essential hypotheses in time-frequency analysis and applied harmonic analysis. In the first part of this…”
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19
Polynomial control on stability, inversion and powers of matrices on simple graphs
Published 20-05-2017“…Spatially distributed networks of large size arise in a variety of science and engineering problems, such as wireless sensor networks and smart power grids…”
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LAGRANGE INTERPOLATION AND BOUNDARY-VALUE PROBLEMS
Published in The Journal of integral equations and applications (01-12-2006)“…It is known that some boundary-value problems give rise to Lagrange-type interpolation series that can be used to reconstruct entire functions from their…”
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