Geodesic
Haar wavelets on the Lebesgue spaces of local fields of positive characteristic
Biswaranjan Behera 1
1 Statistics and Mathematics Unit Indian Statistical Institute 203 B. T. Road Kolkata, 700108, India
Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 149-168 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 \infty $. 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 \infty $.
DOI : 10.4064/cm136-2-1
Keywords: construct haar wavelets local field positive characteristic haar wavelet system forms unconditional basis infty prove system normalized democratic basis proves haar system greedy basis infty

Biswaranjan Behera  1

1 Statistics and Mathematics Unit Indian Statistical Institute 203 B. T. Road Kolkata, 700108, India 
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Biswaranjan Behera. Haar wavelets on the Lebesgue spaces of local fields of positive characteristic. Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 149-168. doi: 10.4064/cm136-2-1

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