By Feng Dai,Yuan Xu
This monograph documents development in approximation thought and harmonic research on balls and spheres, and offers modern fabric that might be invaluable 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 components take care of extra really good themes, comparable to research in weight areas with mirrored image invariant weight services, and research on balls and simplexes. The final a part of the ebook beneficial properties numerous purposes, 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 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 prevalent 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