Interpolatory band-limited wavelet bases on the sphere

Noemí Laín Fernandez*, Jürgen Prestin

*Corresponding author for this work
6 Citations (Scopus)


In the present paper, we construct space-localized bases for the space Wnn:= ⊕k=n+12n Harm k (double-struck S sign2) of band-limited functions on the sphere. Each of the basis functions is a zonal polynomial centered at a point ηi ∈ double-struck S sign2. The goal of this work is to describe explicit fundamental systems {ηj} j=1,...,Mn for the space Wnn which finally lead to space- and frequency-localized polynomial bases for L2(double- struck S sign2).

Original languageEnglish
JournalConstructive Approximation
Issue number1
Pages (from-to)79-101
Number of pages23
Publication statusPublished - 01.11.2005


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