Multivariate Approximatfon Theory II
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چکیده
Vector smoothing splines on the sphere are defined% Theoretical properties are briefly alluded to. An approach to choosing the appropriate Hilbert space norms to use in a specific meteorological application is described and justified via a duality theorem. Numerical procedures for computing the splines as well as the cross validation estimate of two smoothing parameters are given. A Monte Carlo study is described which suggests the accuracy with which upper air vorticity .and divergence can be estimated using measured wind vectors from the North American radiosonde network.
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تاریخ انتشار 1982