Approximation Theory and Harmonic Analysis on Spheres and Balls

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Approximation Theory and Harmonic Analysis on Spheres and Balls by Feng Dai, Yuan Xu, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Feng Dai, Yuan Xu ISBN: 9781461466604
Publisher: Springer New York Publication: April 17, 2013
Imprint: Springer Language: English
Author: Feng Dai, Yuan Xu
ISBN: 9781461466604
Publisher: Springer New York
Publication: April 17, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Breast Reconstruction with Autologous Tissue by Feng Dai, Yuan Xu
Cover of the book Exploring Ancient Skies by Feng Dai, Yuan Xu
Cover of the book Epistemology and Probability by Feng Dai, Yuan Xu
Cover of the book Seamless and Secure Communications over Heterogeneous Wireless Networks by Feng Dai, Yuan Xu
Cover of the book On-Orbit Operations Optimization by Feng Dai, Yuan Xu
Cover of the book Women, Borders, and Violence by Feng Dai, Yuan Xu
Cover of the book Surgical Anatomy and Technique by Feng Dai, Yuan Xu
Cover of the book Reviews of Environmental Contamination and Toxicology by Feng Dai, Yuan Xu
Cover of the book Pediatric Imaging for the Technologist by Feng Dai, Yuan Xu
Cover of the book real time opthalmic ultrasonography by Feng Dai, Yuan Xu
Cover of the book Diagnostic Principles and Applications by Feng Dai, Yuan Xu
Cover of the book Water Stress in Biological, Chemical, Pharmaceutical and Food Systems by Feng Dai, Yuan Xu
Cover of the book Geolocation of RF Signals by Feng Dai, Yuan Xu
Cover of the book Handbook of LGBT Communities, Crime, and Justice by Feng Dai, Yuan Xu
Cover of the book Off School, In Court by Feng Dai, Yuan Xu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy