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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction (Paperback, 2012)
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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction (Paperback, 2012)
Series: Lecture Notes in Mathematics, 2044
Expected to ship within 10 - 15 working days
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These notes provide an introduction to the theory of spherical
harmonics in an arbitrary dimension as well as an overview of
classical and recent results on some aspects of the approximation
of functions by spherical polynomials and numerical integration
over the unit sphere. The notes are intended for graduate students
in the mathematical sciences and researchers who are interested in
solving problems involving partial differential and integral
equations on the unit sphere, especially on the unit sphere in
three-dimensional Euclidean space. Some related work for
approximation on the unit disk in the plane is also briefly
discussed, with results being generalizable to the unit ball in
more dimensions.
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