Feng Dai

Yuan Xu

This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area. While the first part of the book contains mainstream material on the subject, the second and the third parts deal with more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes. The last part of the book features several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography. This book is directed at researchers and advanced graduate students in analysis. Mathematicians who are familiar with Fourier analysis and harmonic analysis will understand many of the concepts that appear in this manuscript: spherical harmonics, the Hardy-Littlewood maximal function, the Marcinkiewicz multiplier theorem, the Riesz transform, and doubling weights are all familiar tools to researchers in this area.

Approximation Theory and Harmonic Analysis on Spheres and Balls

Li Tian

Nu Wen Xu

Collection of selected, peer reviewed papers from the 2013 International Conference on Civil, Architecture and Building Materials, (3rd CEABM2013), May 24-26, 2013, Jinan, China. The 475 papers are grouped as follows: Chapter 1: Sustainable City and Regional Development; Chapter 2: Renewable Energy and Building Energy Saving Technology; Chapter 3: Indoor Environment; Chapter 4: City Ecological Environment; Chapter 5: Water Purification and Wastewater Treatment; Chapter 6: Air Environment Control and Architectural Environment Improvement Techniques; Chapter 7: Environmental Engineering and Environmental Protection; Chapter 8: Bridge Engineering; Chapter 9: Road and Railway Engineering; Chapter 10: Transportation Planning, Construction and Logistics Engineering; Chapter 11: Traffic Control and Information Technology.

Feng Dai

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