Approximation Theory and Harmonic Analysis on Spheres and by Feng Dai,Yuan Xu

By Feng Dai,Yuan Xu

This monograph documents growth in approximation idea and harmonic research on balls and spheres, and provides modern fabric that would be important to analysts during this area.  whereas the 1st a part of the publication comprises mainstream fabric at the topic, the second one and the 3rd components care for extra really good subject matters, equivalent to research in weight areas with mirrored image invariant weight features, and research on balls and simplexes.  The final a part of the ebook 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 some of the recommendations that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz rework, and doubling weights are all commonplace instruments to researchers during this area.

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