A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of , where .
Karoui, Abderrazek (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “A note on wavelet bases in function spaces”
A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of , where .
Wavelet bases for the biharmonic problem
Bímová, Daniela, Černá, Dana, Finěk, Václav
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In our contribution, we study different Riesz wavelet bases in Sobolev spaces based on cubic splines satisfying homogeneous Dirichlet boundary conditions of the second order. These bases are consequently applied to the numerical solution of the biharmonic problem and their quantitative properties are compared.
Quantitative properties of quadratic spline wavelet bases in higher dimensions
Černá, Dana, Finěk, Václav, Šimůnková, Martina
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To use wavelets efficiently to solve numerically partial differential equations in higher dimensions, it is necessary to have at one’s disposal suitable wavelet bases. Ideal wavelets should have short supports and vanishing moments, be smooth and known in closed form, and a corresponding wavelet basis should be well-conditioned. In our contribution, we compare condition numbers of different quadratic spline wavelet bases in dimensions d = 1, 2 and 3 on tensor product domains (0,1)^d. ...
Recent developments in wavelet methods for the solution of PDE's
Silvia Bertoluzza (2005)
Bollettino dell'Unione Matematica Italiana
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After reviewing some of the properties of wavelet bases, and in particular the property of characterisation of function spaces via wavelet coefficients, we describe two new approaches to, respectively, stabilisation of numerically unstable PDE's and to non linear (adaptive) solution of PDE's, which are made possible by these properties.
Exceptional Sets and Wavelet Packets Orthonormal Bases.
Sandra Saliani (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Haar Type Orthonomal Wavelet Bases in R2.
Jeffrey C. Lagarias, Yang Wang (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Wavelet Basis Packets and Wavelet Frame Packets.
Ruilin Long, Wen Chen (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval.
Chyzak, Frédéric, Paule, Peter, Scherzer, Otmar, Schoisswohl, Armin, Zimmermann, Burkhard (2001)
Experimental Mathematics
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Construction of Non-MSF Non-MRA Wavelets for L²(ℝ) and H²(ℝ) from MSF Wavelets
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].