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

By Feng Dai,Yuan Xu

This monograph files development in approximation thought and harmonic research on balls and spheres, and offers modern fabric that may 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 elements take care of extra really expert subject matters, equivalent to research in weight areas with mirrored image invariant weight capabilities, and research on balls and simplexes.  The final a part of the e-book positive aspects a number of purposes, 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 complicated graduate scholars in research. Mathematicians who're acquainted with Fourier research and harmonic research will comprehend a few 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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