Results 21 to 30 of about 3,057 (141)
On the equivalence of probability spaces [PDF]
, 2016 For a general class of Gaussian processes $W$, indexed by a sigma-algebra $\mathscr F$ of a general measure space $(M,\mathscr F, \sigma)$, we give necessary and sufficient conditions for the validity of a quadratic variation representation for such ...
Alpay, Daniel +2 more
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A fractional spline collocation method for the fractional order logistic equation [PDF]
, 2017 We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
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Orthogonality criteria for compactly supported refinable functions and refinable function vectors
The Journal of Fourier Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lagarias, Jeffrey C., Wang, Yang
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Multivariate Refinable Interpolating Functions
Applied and Computational Harmonic Analysis, 1999 The author gives an algorithm for the construction of refinable interpolating functions for an arbitrary dilation matrix. This construction of refinable interpolating functions is an intermediate step in the construction of orthonormal wavelet bases and is of interest in its own right.
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Refinable Functions with PV Dilations [PDF]
, 2017 A PV number is an algebraic integer $α$ of degree $d \geq 2$ all of whose Galois conjugates other than itself have modulus less than $1$. Erdös \cite{erdos} proved that the Fourier transform $\widehat φ,$ of a nonzero compactly supported scalar valued function satisfying the refinement equation $φ(x) = \frac{|α|}{2}φ(αx) + \frac{|α|}{2}φ(αx-1)$ with ...
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Strong Successive Refinability and Rate-Distortion-Complexity Tradeoff
, 2016 We investigate the second order asymptotics (source dispersion) of the successive refinement problem. Similarly to the classical definition of a successively refinable source, we say that a source is strongly successively refinable if successive ...
Ingber, Amir +2 more
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A Matricial Algorithm for Polynomial Refinement [PDF]
, 2011 In order to have a multiresolution analysis, the scaling function must be refinable. That is, it must be the linear combination of 2-dilation, $\mathbb{Z}$-translates of itself. Refinable functions used in connection with wavelets are typically compactly
King, Emily J.
core
Regularity of anisotropic refinable functions [PDF]
Applied and Computational Harmonic Analysis, 2019 This paper presents a detailed regularity analysis of anisotropic wavelet frames and subdivision. In the univariate setting, the smoothness of wavelet frames and subdivision is well understood by means of the matrix approach. In the multivariate setting, this approach has been extended only to the special case of isotropic refinement with the dilation ...
Charina, Maria, Protasov, Vladimir
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Symmetric interpolatory dual wavelet frames [PDF]
, 2014 For any symmetry group $H$ and any appropriate matrix dilation we give an explicit method for the construction of $H$-symmetric refinable interpolatory refinable masks which satisfy sum rule of arbitrary order $n$.
Krivoshein, A. V.
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Proximately chain refinable functions
Hacettepe Journal of Mathematics and Statistics, 2018 Summary: We define proximately chain refinable functions as a generalization of refinable maps and investigate some of their properties for Hausdorff paracompact spaces. We prove that the proximate fixed point property is preserved by proximate near homeomorphisms in paracompact Hausdorff spaces. This generalizes a previous result of \textit{E.
BUKLLA, Abdulla, MARKOSKİ, Gjorgji
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