By Feng Dai,Yuan Xu
This monograph documents development in approximation idea and harmonic research on balls and spheres, and provides modern fabric that may be priceless 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 good issues, resembling research in weight areas with mirrored image invariant weight services, and research on balls and simplexes. The final a part of the ebook good points 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 conversant in Fourier research and harmonic research will comprehend a number of the suggestions that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz remodel, 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