Multiquadric prewavelets on nonequally spaced knots in one dimension

Buhmann, M. D.

doi:10.1090/S0025-5718-1995-1308448-4

Multiquadric prewavelets on nonequally spaced knots in one dimension
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Math. Comp. 64 (1995), 1611-1625 Request permission

Abstract:

In this paper, we identify univariate prewavelets on spaces spanned by translates of multiquadric functions and other radial basis functions with nonequally spaced centers (or "knots"). Although the multiquadric function and its relations are our prime examples, the theory is sufficiently broad to admit prewavelets from other radial basis function spaces as well.

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Analytic wavelets generated by radial functions

Inequalities

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