Results 11 to 20 of about 858 (53)
Function spaces on the Koch curve
Journal of Function Spaces, Volume 8, Issue 3, Page 287-299, 2010., 2010 We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.
Maryia Kabanava, Hans Triebel
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Discrete differential operators in multidimensional Haar wavelet spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2347-2355, 2004., 2004 We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to ...
Carlo Cattani, Luis M. Sánchez Ruiz
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Vanishing moments for scaling vectors
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1897-1908, 2004., 2004 One advantage of scaling vectors over a single scaling function is the compatibility of symmetry and orthogonality. This paper investigates the relationship between symmetry, vanishing moments, orthogonality, and support length for a scaling vector Φ. Some general results on scaling vectors and vanishing moments are developed, as well as some necessary
David K. Ruch
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Infinite matrices, wavelet coefficients and frames
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3695-3702, 2004., 2004 We study the action of A on f ∈ L2(ℝ) and on its wavelet coefficients, where A=(almjk) lmjk is a double infinite matrix. We find the frame condition for A‐transform of f ∈ L2(ℝ) whose wavelet series expansion is known.
N. A. Sheikh, M. Mursaleen
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Refinement equations for generalized translations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3435-3444, 2004., 2004 We study refinement equations which relate the dilation of a function with generalized translates of the function, consisting of convolutions against certain kernels including Cauchy and Gaussian densities; solutions are expressed in terms of solutions of the corresponding refinement equation involving ordinary translation.
W. Christopher Lang
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A discrete wavelet analysis of freak waves in the ocean
Journal of Applied Mathematics, Volume 2004, Issue 5, Page 379-394, 2004., 2004 A freak wave is a wave of very considerable height, ahead of which there is a deep trough. A case study examines some basic properties developed by performing wavelet analysis on a freak wave. We demonstrate several applications of wavelets and discrete and continuous wavelet transforms on the study of a freak wave.
En-Bing Lin, Paul C. Liu
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Osiris wavelets and Set wavelets
Journal of Applied Mathematics, Volume 2004, Issue 6, Page 495-528, 2004., 2004 An alternative to Osiris wavelet systems is introduced in two dimensions. The basic building blocks are continuous piecewise linear functions supported on equilateral triangles instead of on squares. We refer to wavelets generated in this way as Set wavelets. We introduce a Set wavelet system whose homogeneous mode density is 2/5.
Guy Battle
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BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING
Forum of Mathematics, Sigma, 2017 This paper presents a framework for compressed sensing that bridges a gap between existing theory and the current use of compressed sensing in many real-world applications.
BEN ADCOCK +3 more
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Wavelet analysis on a Boehmian space
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 917-926, 2003., 2003 We extend the wavelet transform to the space of periodic Boehmians and discuss some of its properties.
R. Roopkumar
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BCR algorithm and the $T(b)$ theorem [PDF]
, 2007 We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
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