By Feng Dai,Yuan Xu
This monograph documents development in approximation concept and harmonic research on balls and spheres, and provides modern fabric that might be precious 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 components take care of extra really expert issues, corresponding to research in weight areas with mirrored image invariant weight services, and research on balls and simplexes. The final a part of the publication good points a number of purposes, together with cubature formulation, distribution of issues at the sphere, and the reconstruction set of rules in automatic tomography.
This e-book is directed at researchers and complicated graduate scholars in research. Mathematicians who're acquainted with Fourier research and harmonic research will comprehend a few of the innovations that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz rework, and doubling weights are all conventional 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