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- W2000261957 abstract "A concept of generalized discrepancy, which involves pseudodifferential operators to give a criterion of equidistributed pointsets, is developed on the sphere. A simply structured formula in terms of elementary functions is established for the computation of the generalized discrepancy. With the help of this formula five kinds of point systems on the sphere, namely lattices in polar coordinates, transformed two-dimensional sequences, rotations on the sphere, triangulations, and sum of three squares sequence, are investigated. Quantitative tests are done, and the results are compared with one another. Our calculations exhibit different orders of convergence of the generalized discrepancy for different types of point systems." @default.
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- W2000261957 date "1997-03-01" @default.
- W2000261957 modified "2023-09-23" @default.
- W2000261957 title "Equidistribution on the Sphere" @default.
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- W2000261957 doi "https://doi.org/10.1137/s1064827595281344" @default.
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