By Feng Dai,Yuan Xu
This monograph documents development in approximation conception 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 booklet includes mainstream fabric at the topic, the second one and the 3rd elements care for extra really good issues, reminiscent of research in weight areas with mirrored image invariant weight capabilities, and research on balls and simplexes. The final a part of the publication good points a number of 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 complicated graduate scholars in research. Mathematicians who're accustomed to Fourier research and harmonic research will comprehend the various options that seem during this manuscript: round harmonics, the Hardy-Littlewood maximal functionality, the Marcinkiewicz multiplier theorem, the Riesz remodel, and doubling weights are all accepted instruments to researchers during this area.
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Extra resources for Approximation Theory and Harmonic Analysis on Spheres and Balls (Springer Monographs in Mathematics)
Approximation Theory and Harmonic Analysis on Spheres and Balls (Springer Monographs in Mathematics) by Feng Dai,Yuan Xu