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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Approximation Theory and Harmonic Analysis on Spheres and Balls (Paperback, 2013 ed.)
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Approximation Theory and Harmonic Analysis on Spheres and Balls (Paperback, 2013 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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This monograph records progress in approximation theory and
harmonic analysis on balls and spheres, and presents contemporary
material that will be useful to analysts in this area. While the
first part of the book contains mainstream material on the subject,
the second and the third parts deal with more specialized topics,
such as analysis in weight spaces with reflection invariant weight
functions, and analysis on balls and simplexes. The last part of
the book features several applications, including cubature
formulas, distribution of points on the sphere, and the
reconstruction algorithm in computerized tomography. This book is
directed at researchers and advanced graduate students in analysis.
Mathematicians who are familiar with Fourier analysis and harmonic
analysis will understand many of the concepts that appear in this
manuscript: spherical harmonics, the Hardy-Littlewood maximal
function, the Marcinkiewicz multiplier theorem, the Riesz
transform, and doubling weights are all familiar tools to
researchers in this area.
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