By Feng Dai,Yuan Xu
This monograph documents growth in approximation thought and harmonic research on balls and spheres, and offers modern fabric that may be priceless to analysts during this area. whereas the 1st a part of the ebook includes mainstream fabric at the topic, the second one and the 3rd elements care for extra really expert subject matters, corresponding to research in weight areas with mirrored image invariant weight features, and research on balls and simplexes. The final a part of the booklet positive aspects numerous functions, together with cubature formulation, distribution of issues at the sphere, and the reconstruction set of rules in automated tomography.
This booklet is directed at researchers and complex graduate scholars in research. Mathematicians who're acquainted with Fourier research and harmonic research will comprehend some of the ideas that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz rework, and doubling weights are all primary 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