Factoring Wavelet Transforms into Lifting Steps.
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Wim Sweldens, Ingrid Daubechies (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Schipp, Ferenc (2002)
Mathematica Pannonica
Jeffrey S. Geronimo, Plamen Iliev (2014)
Journal of the European Mathematical Society
We give a complete characterization of the positive trigonometric polynomials on the bi-circle, which can be factored as where is a polynomial nonzero for and . The conditions are in terms of recurrence coefficients associated with the polynomials in lexicographical and reverse lexicographical ordering orthogonal with respect to the weight on the bi-circle. We use this result to describe how specific factorizations of weights on the bi-circle can be translated into identities relating...
Simon, Barry (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
W.R. Madych (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Ole Christensen (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Piotr Nayar (2014)
Colloquium Mathematicae
We consider Boolean functions defined on the discrete cube equipped with a product probability measure , where and γ = √(α/β). This normalization ensures that the coordinate functions are orthonormal in . We prove that if the spectrum of a Boolean function is concentrated on the first two Fourier levels, then the function is close to a certain function of one variable. Our theorem strengthens the non-symmetric FKN Theorem due to Jendrej, Oleszkiewicz and Wojtaszczyk. Moreover, in the symmetric...
Pierre Gilles Lemarié-Rieusset (1991)
Revista Matemática Iberoamericana
The main topic of this paper is the study of compactly supported functions in a multi-resolution analysis and especially of the minimally supported ones. We will show that this class of functions is stable under differentiation and integration and how to compute basic quantities with them.
Pierre Gilles Lemarié-Rieusset (1997)
Revista Matemática Iberoamericana
The theory of convergence for (non-stationary) scaling functions and the approximation of interpolating scaling filters by means of Bernstein polynomials, allow us to construct a non-stationary interpolating scaling function with interesting approximation properties.
Carlos Conca, M. Vanninathan (2002)
ESAIM: Control, Optimisation and Calculus of Variations
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
Carlos Conca, M. Vanninathan (2010)
ESAIM: Control, Optimisation and Calculus of Variations
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
Francisco Javier González Vieli (2006)
Commentationes Mathematicae Universitatis Carolinae
We show that the Fourier-Laplace series of a distribution on the real, complex or quarternionic projective space is uniformly Cesàro-summable to zero on a neighbourhood of a point if and only if this point does not belong to the support of the distribution.
Younis, M.S. (2001)
International Journal of Mathematics and Mathematical Sciences
Mantica, Giorgio (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Astashkin, S.V. (2000)
Siberian Mathematical Journal
Lang, W.Christopher (1998)
International Journal of Mathematics and Mathematical Sciences
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
Cattani, Carlo (2010)
Mathematical Problems in Engineering
Balderrama, Cristina, Urbina, Wilfredo (2007)
Divulgaciones Matemáticas
M. Zibulski, V.A. Segalescu (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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