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

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By Feng Dai,Yuan Xu

This monograph files development in approximation conception and harmonic research on balls and spheres, and provides modern fabric that may be necessary to analysts during this area.  whereas the 1st a part of the e-book includes mainstream fabric at the topic, the second one and the 3rd components 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 positive aspects numerous functions, 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 complex graduate scholars in research. Mathematicians who're accustomed to Fourier research and harmonic research will comprehend some of the ideas that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz remodel, and doubling weights are all frequent 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


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