Approximation Theory and Harmonic Analysis on Spheres and Ball
نام عام مواد
[Book]
ساير اطلاعات عنواني
:[delta
نام نخستين پديدآور
/ by Feng Dai, Yuan Xu
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York, NY
نام ناشر، پخش کننده و غيره
: Springer New York :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XVIII, 440 p. 1 illus., online resource.
فروست
عنوان فروست
(Springer Monographs in Mathematics,1439-7382)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
متن يادداشت
1 Spherical Harmonics -- 2 Convolution and Spherical Harmonic Expansion -- 3 Littlewood-Paley Theory and Multiplier Theorem -- 4 Approximation on the Sphere -- 5 Weighted Polynomial Inequalities -- 6 Cubature Formulas on Spheres -- 7 Harmonic Analysis Associated to Reflection Groups -- 8 Boundedness of Projection Operator and Ces?aro Means -- 9 Projection Operators and Ces?aro Means in L
فروست (داده ارتباطی)
عنوان
Springer Monographs in Mathematics,1439-7382
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Global analysis (Mathematics)
موضوع مستند نشده
Fourier analysis
موضوع مستند نشده
Functions, special
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )