"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. ..."
"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. ..."
Springer Monographs in Mathematics Approximation Theory and Harmonic Analysis on Spheres and Balls by FengDai, Yuan Xu 440 Pages, Published 2013 by Springer Science & Business Media ISBN-13: 978-1-4614-6660-4, ISBN: 1-4614-6660-1
"Feng Dai, Yuan Xu. Let J denote the integral in the above inequality. Then the
proof of (13.5.2) will follow once the following claim is established: for t > 3| K| +
d+ 1, "TZlKl J < c . 13.5.5 — 2/r(n;21)\/%(11;y)(1+"dir(21,y))H'"'IdIl ( ) First, from the
definition of z(x, y, t), we obtain the lower estimate 1—z(x,y,t) Z 1— 1/x1y1_ ---— 1
/Xd+1yd+1:1— cosdqp(x,y) d 2 I 2sin2 > EdT(r,y)2, (13.5.6) which enables us to
deduce the est ..."
"This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis ..."
"... consequence of the following Tomas–Stein restriction theorem (see, for
instance, [31, Section 10.4]): d+3 , (7.7.1) ̂fL2(Sd−1) ≤ cp fLp(Rd), 1 ≤ p ≤ 2d+
2 where ̂fdenotes the usual Fourier transform of f. In the weighted case, while
estimates similar to (7.7.1) can be proved for the Dunkl transform F κf (see [38,
Theorem 4.1]), they do not seem to be enough for the proof of Theorem 7.6.1. A
similar fact was indicated in [14] for ..."
Sustainable Cities Development and Environment Protection Selected, Peer Reviewed Papers from the 3rd International Conference on Civil Engineering, Architecture and Building Materials (Ceabm 2013), May 24-26 by Nuwen Xu, FengDai Paperback, 2,382 Pages, Published 2014 by Trans Tech Pubn ISBN-13: 978-3-03785-777-9, ISBN: 3-03785-777-3
"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."
Mechatronics, Robotics and Automation Selected Peer Reviewed Papers from the Civil Engineering, Architecture and Building Materials (Ceabm 2013), May ... China (Applied Mechanics and Materials) by Yun-Hae Kim, Nuwen Xu, FengDai Paperback, 2,319 Pages, Published 2013 by Trans Tech Pubn ISBN-13: 978-3-03785-806-6, ISBN: 3-03785-806-0
"The book is a comprehensive and systematic treatment of carbonyl compounds as reactants, catalysts, and products."
Scleractinia Fauna of Taiwan II The Robust Group(Chinese Edition)(Old-Used) TAI WAN SHI SHAN HU ZHI II. JIAN SHI LEI QUN by Chang-FengDai, Sharon Horng Hardcover, 334 Pages, Published 2009 by 國立臺灣大學出版中心 ISBN-13: 978-986-01-8745-8, ISBN: 986-01-8745-2