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

• Autorzy: Biswaranjan Behera
• Języki publikacji: EN

Abstrakty

EN

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 < ∞.

Kategorie tematyczne

• 42C40: Wavelets and other special systems
• 11S85: Other nonanalytic theory
• 42C15: General harmonic expansions, frames
• 43A70: Analysis on specific locally compact and other abelian groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 136
• Numer: 2
• Strony: 149-168

Daty

wydano

2014

Twórcy

autor

Biswaranjan Behera

• Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India

Identyfikatory

DOI

10.4064/cm136-2-1