Results 21 to 30 of about 5,154,441 (261)
Refinement equations and spline functions [PDF]
Advances in Computational Mathematics, 2008 In this paper, we exploit the relation between the regularity of refinable functions with non-integer dilations and the distribution of powers of a fixed number modulo 1, and show the nonexistence of a non-trivial {\bf C}^{\infty} solution of the refinement equation with non-integer dilations.
Arturas Dubickas, Zhiqiang Xu 0001
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Approximation by crystal-refinable functions [PDF]
Geometriae Dedicata, 2019 Let $Γ$ be a crystal group in $\mathbb R^d$. A function $φ:\mathbb R^d\longrightarrow \mathbb C$ is said to be {\em crystal-refinable} (or $Γ-$refinable) if it is a linear combination of finitely many of the rescaled and translated functions $φ(γ^{-1}(ax))$, where the {\em translations} $γ$ are taken on a crystal group $Γ$, and $a$ is an expansive ...
Ursula Molter +2 more
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Generalized interpolating refinable function vectors [PDF]
, 2009 Interpolating scalar refinable functions with compact support are of interest in several applications such as sampling theory, signal processing, computer graphics, and numerical algorithms.
Kwon, Soon-Geol +2 more
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The regularity of refinable functions
Applied and Computational Harmonic Analysis, 2013 The regularity of refinable functions has been studied extensively in the past. A classical result by Daubechies and Lagarias states that a compactly supported refinable function in $\R$ of finite mask with integer dilation and translations cannot be in $C^\infty$.
Wang, Yang, Xu, Zhiqiang
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HOW TO REFINE POLYNOMIAL FUNCTIONS [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2012 Research on refinable functions in wavelet theory is mostly focused to localized functions. However it is known, that polynomial functions are refinable, too. In our paper we investigate on conversions between refinement masks and polynomials and their uniqueness.
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Refinements of Fejér’s inequality for convex functions [PDF]
Periodica Mathematica Hungarica, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuei-Lin Tseng +2 more
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High Balanced Biorthogonal Multiwavelets with Symmetry
Abstract and Applied Analysis, 2014 Balanced multiwavelet transform can process the vector-valued data sparsely while preserving a polynomial signal. Yang et al. (2006) constructed balanced multiwavelets from the existing nonbalanced ones.
Youfa Li +3 more
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Abstract and Applied Analysis, 2011 This paper is concerned with analyzing the mathematical properties, such as the regularity and stability of nonstationary biorthogonal wavelet systems based on exponential B-splines.
Yeon Ju Lee, Jungho Yoon
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Refinable functions for dilation families [PDF]
Advances in Computational Mathematics, 2011 Advances in Computational Mathematics, 36 (3)
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Time refinement in a functional synchronous language [PDF]
Science of Computer Programming, 2013 Concurrent and reactive systems often exhibit multiple time scales. This situation occurs, for instance, in the discrete simulation of a sensor network where the time scale at which agents communicate is very different from the time scale used to model the internals of an agent.The paper presents reactive domains to simplify the programming of such ...
Pouzet, Marc +2 more
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