Bochner-Riesz Means on Euclidean Spaces
Dunyan YanShanzhen Lu
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Bochner-Riesz Means on Euclidean Spaces

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This book mainly deals with the Bochner Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner Riesz means and important achievements attained in the last 50 years. For the Bochner Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the Disc multiplier conjecture, the famous Carleson-Sj lin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner Riesz means below the critical index. For the Bochner Riesz means o...