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Displaying 121 – 140 of 324

Harmonic analysis of the space BV.

Albert Cohen, Wolfgang Dahmen, Ingrid Daubechies, Ronald DeVore (2003)

Revista Matemática Iberoamericana

We establish new results on the space BV of functions with bounded variation. While it is well known that this space admits no unconditional basis, we show that it is almost characterized by wavelet expansions in the following sense: if a function f is in BV, its coefficient sequence in a BV normalized wavelet basis satisfies a class of weak-l1 type estimates. These weak estimates can be employed to prove many interesting results. We use them to identify the interpolation spaces between BV and Sobolev...

Hausdorff dimension of the graph of the fractional Brownian sheet.

Antoine Ayache (2004)

Revista Matemática Iberoamericana

Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms.

Aline Bonami, Demange, Bruno, Jaming, Philippe (2003)

Revista Matemática Iberoamericana

We extend an uncertainty principle due to Beurling into a characterization of Hermite functions. More precisely, all functions f on Rd which may be written as P(x)exp(-(Ax,x)), with A a real symmetric definite positive matrix, are characterized by integrability conditions on the product f(x)f(y). We then obtain similar results for the windowed Fourier transform (also known, up to elementary changes of functions, as the radar ambiguity function or the Wigner transform). We complete the paper with...

High-Order Ortonomal Scaling Functions and Wavelets Give Poor Time-Frequency Localization.

Carles K. Chui, Jianzhong Wang (1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Hilbert Spaces of Distributions Having an Orthogonal Basis of Exponentials.

Jean-Pierre Gabardo (2000)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

How smooth is almost every function in a Sobolev space?

Aurélia Fraysse, Stéphane Jaffard (2006)

Revista Matemática Iberoamericana

We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Hölder regularity are fractal sets, and we determine their Hausdorff dimension.

Improved Sobolev embedding theorem

Albert Cohen, Yves Meyer, Frédérique Oru (1997/1998)

Séminaire Équations aux dérivées partielles

Inégalités de Sobolev précisées

Yves Meyer, Patrick Gérard, Frédérique Oru (1996/1997)

Séminaire Équations aux dérivées partielles

Inequivalence of Wavelet Systems in $L ₁ (ℝ^{d})$ and $B V (ℝ^{d})$

Paweł Bechler (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

Theorems stating sufficient conditions for the inequivalence of the d-variate Haar wavelet system and another wavelet system in the spaces $L ₁ (ℝ^{d})$ and $B V (ℝ^{d})$ are proved. These results are used to show that the Strömberg wavelet system and the system of continuous Daubechies wavelets with minimal supports are not equivalent to the Haar system in these spaces. A theorem stating that some systems of smooth Daubechies wavelets are not equivalent to the Haar system in $L ₁ (ℝ^{d})$ is also shown.

Infinite matrices, wavelet coefficients and frames.

Sheikh, N.A., Mursaleen, M. (2004)

International Journal of Mathematics and Mathematical Sciences

Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.

Y. Han, S. Lu, D. Yang (2001)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Inhomogenous RefinementEquations.

Gilbert Strang, Ding-Xuan Zhou (1998)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets

Fitouhi, Ahmed, Bettaibi, Néji, Binous, Wafa (2007)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators of the q-Riemann-Liouville and...

Currently displaying 121 – 140 of 324

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Displaying 121 – 140 of 324

Harmonic analysis of the space BV.

Hausdorff dimension of the graph of the fractional Brownian sheet.

Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms.

High-Order Ortonomal Scaling Functions and Wavelets Give Poor Time-Frequency Localization.

Hilbert Spaces of Distributions Having an Orthogonal Basis of Exponentials.

How smooth is almost every function in a Sobolev space?

Improved Sobolev embedding theorem

Inégalités de Sobolev précisées

Inequivalence of Wavelet Systems in $L ₁ (ℝ^{d})$ and $B V (ℝ^{d})$

Infinite matrices, wavelet coefficients and frames.

Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.

Inhomogenous RefinementEquations.

Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets

Inversion formulas for the spherical Radon-Dunkl transform.

Inversion of Exponential k-Plane Transforms.

Irregular Sampling and the Inverse Spectral Problem.

Irregular Sampling in Wavelet Subspaces.

Isometric tight frames.

Konvergenzverhalten der konjugierten Shannonschen Abtastreihe

L... Solutions of Refinement Equations.

Currently displaying 121 – 140 of 324