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Haar system on a product of zero-dimensional compact groups

Sergei Lukomskii (2011)

Open Mathematics

In this work, we study the problem of constructing Haar bases on a product of arbitrary compact zero-dimensional Abelian groups. A general scheme for the construction of Haar functions is given for arbitrary dimension. For dimension d=2, we describe all Haar functions.

Haar wavelets on the Lebesgue spaces of local fields of positive characteristic

Biswaranjan Behera (2014)

Colloquium Mathematicae

We construct the Haar wavelets on a local field K of positive characteristic and show that the Haar wavelet system forms an unconditional basis for $L^{p} (K)$ , 1 < p < ∞. We also prove that this system, normalized in $L^{p} (K)$ , is a democratic basis of $L^{p} (K)$ . This also proves that the Haar system is a greedy basis of $L^{p} (K)$ for 1 < p < ∞.

Displaying 1 – 6 of 6

Haar system on a product of zero-dimensional compact groups

Haar wavelets on the Lebesgue spaces of local fields of positive characteristic

Harmonic Analysis and Real Group Algebras.

Harmonic analysis of Abelian inner automorphism groups of von Neumann algebras.

Herz-type Besov spaces on locally compact Vilenkin groups.

Homogeneous Besov spaces on locally compact Vilenkin groups

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