Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations.
Cattani, Carlo, Kudreyko, Aleksey (2010)
Mathematical Problems in Engineering
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Cattani, Carlo, Kudreyko, Aleksey (2010)
Mathematical Problems in Engineering
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Abdolaziz Abdollahi, Jahangir Cheshmavar, Mohsen Taghavi (2011)
Open Mathematics
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In this paper, we consider the well-known Rudin-Shapiro polynomials as a class of constant multiples of low-pass filters to construct a sequence of compactly supported wavelets.
Dana Černá, Václav Finěk, Karel Najzar (2008)
Open Mathematics
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In 1989, R. Coifman suggested the design of orthonormal wavelet systems with vanishing moments for both scaling and wavelet functions. They were first constructed by I. Daubechies [15, 16], and she named them coiflets. In this paper, we propose a system of necessary conditions which is redundant free and simpler than the known system due to the elimination of some quadratic conditions, thus the construction of coiflets is simplified and enables us to find the exact values of the scaling...
Dana Černá, Václav Finěk (2004)
Open Mathematics
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In the present paper, Daubechies' wavelets and the computation of their scaling coefficients are briefly reviewed. Then a new method of computation is proposed. This method is based on the work [7] concerning a new orthonormality condition and relations among scaling moments, respectively. For filter lengths up to 16, the arising system can be explicitly solved with algebraic methods like Gröbner bases. Its simple structure allows one to find quickly all possible solutions.
Sheikh, N.A., Mursaleen, M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Aparna Vyas (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(ℝ) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178].
Bildea, Stefan, Dutkay, Dorin Ervin, Picioroaga, Gabriel (2005)
The New York Journal of Mathematics [electronic only]
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Guochang, Wu, Xiaohui, Yang, Zhanwei, Liu (2009)
Mathematical Problems in Engineering
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Cattani, Carlo (2010)
Mathematical Problems in Engineering
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Cattani, Carlo, Sánchez Ruiz, Luis M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Arambašić Ljiljana, Damir Bakić, Rajna Rajić (2010)
Studia Mathematica
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The paper is a continuation of our study of dimension functions of orthonormal wavelets on the real line with dyadic dilations. The main result of Section 2 is Theorem 2.8 which provides an explicit reconstruction of the underlying generalized multiresolution analysis for any MSF wavelet. In Section 3 we reobtain a result of Bownik, Rzeszotnik and Speegle which states that for each dimension function D there exists an MSF wavelet whose dimension function coincides with D. Our method...
Chyzak, Frédéric, Paule, Peter, Scherzer, Otmar, Schoisswohl, Armin, Zimmermann, Burkhard (2001)
Experimental Mathematics
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Ü. Lepik, H. Hein (2015)
Waves, Wavelets and Fractals
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In recent times the wavelet methods have obtained a great popularity for solving differential and integral equations. From different wavelet families we consider here the Haar wavelets. Since the Haar wavelets are mathematically most simple to be compared with other wavelets, then interest to them is rapidly increasing and there is a great number of papers,where thesewavelets are used tor solving problems of calculus. An overview of such works can be found in the survey paper by Hariharan...
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
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Roşca, Daniela, Antoine, Jean-Pierre (2009)
Mathematical Problems in Engineering
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