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- W1598438928 abstract "In this paper we formulate a weighted version of minimum problem (1.4) on the sphere and we show that, for $Kle L$, if $set{phi_k}^K_{k=1}$ consists of the spherical functions with degree less than $N$ we can localize the points $(xi_1,...,xi_L)$ on the sphere so that the solution of this problem is the simplest possible. This localization is connected to the discrete orthogonality of the spherical functions which was proved in [3]. Using these points we construct a frame system and a wavelet system on the sphere and we study the properties of these systems. For $K>L$ a similar construction was made in paper [4], but in that case the solution of the minimum problem (1.4) is not as efficient as it is in our case. The analogue of Fejer and de la Valee-Poussin summation methods introduced in [3] can be expressed by the frame system introduced in this paper." @default.
- W1598438928 created "2016-06-24" @default.
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- W1598438928 date "2008-08-08" @default.
- W1598438928 modified "2023-09-25" @default.
- W1598438928 title "Frame and wavelet systems on the sphere" @default.
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