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

By Feng Dai,Yuan Xu

This monograph files growth in approximation concept and harmonic research on balls and spheres, and offers modern fabric that would be priceless to analysts during this area.  whereas the 1st a part of the ebook comprises mainstream fabric at the topic, the second one and the 3rd elements take care of extra really expert subject matters, reminiscent of research in weight areas with mirrored image invariant weight services, and research on balls and simplexes.  The final a part of the e-book gains a number of functions, together with cubature formulation, distribution of issues at the sphere, and the reconstruction set of rules in automated tomography.

This e-book is directed at researchers and complex graduate scholars in research. Mathematicians who're acquainted with Fourier research and harmonic research will comprehend a number 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 time-honored instruments to researchers during this area.

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