By Feng Dai,Yuan Xu
This monograph documents growth in approximation idea and harmonic research on balls and spheres, and provides modern fabric that might be helpful to analysts during this area. whereas the 1st a part of the e-book comprises mainstream fabric at the topic, the second one and the 3rd elements care for extra really expert issues, reminiscent of research in weight areas with mirrored image invariant weight features, and research on balls and simplexes. The final a part of the booklet positive factors a number of purposes, together with cubature formulation, distribution of issues at the sphere, and the reconstruction set of rules in automatic tomography.
This booklet is directed at researchers and complicated graduate scholars in research. Mathematicians who're conversant in Fourier research and harmonic research will comprehend a number of the techniques that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz remodel, and doubling weights are all general instruments to researchers during this area.
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Approximation Theory and Harmonic Analysis on Spheres and Balls (Springer Monographs in Mathematics) by Feng Dai,Yuan Xu