Download e-book for iPad: Approximation Theory and Harmonic Analysis on Spheres and by Feng Dai,Yuan Xu

By Feng Dai,Yuan Xu

This monograph documents development in approximation idea and harmonic research on balls and spheres, and offers modern fabric that may be beneficial to analysts during this area.  whereas the 1st a part of the e-book comprises mainstream fabric at the topic, the second one and the 3rd components care for extra really expert issues, similar to research in weight areas with mirrored image invariant weight features, and research on balls and simplexes.  The final a part of the publication positive aspects numerous purposes, together with cubature formulation, distribution of issues at the sphere, and the reconstruction set of rules in automatic tomography.

This publication 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 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 known 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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