Approximation theory and harmonic analysis on spheres and balls Feng Dai, Yuan Xu

Format:

Book

Author/Creator:

Dai, Feng

Contributor:

Xu, Yuan, 1957-

Series:

Springer monographs in mathematics

Springer monographs in mathematics 1439-7382

Language:

English

Subjects (All):

Harmonic analysis.

Approximation theory.

Fourier Analysis.

Medical Subjects:

Fourier Analysis.

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer ©2013

Language Note:

English

System Details:

text file

PDF

Summary:

This monograph covers approximation theory and harmonic analysis on balls and spheres. It provides mainstream material on the subject as well as more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes, and includes several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography

Contents:

Spherical Harmonics Convolution Operator and Spherical Harmonic Expansion Littlewood-Paley Theory and the Multiplier Theorem Approximation on the Sphere Weighted Polynomial Inequalities Cubature Formulas on Spheres Harmonic Analysis Associated with Reflection Groups Boundedness of Projection Operators and Cesàro Means Projection Operators and Cesàro Means in L P Spaces Weighted Best Approximation by Polynomials Harmonic Analysis on the Unit Ball Polynomial Approximation on the Unit Ball Harmonic Analysis on the Simplex Applications

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Dai, Feng. Approximation theory and harmonic analysis on spheres and balls

ISBN:

9781461466604

1461466601

1461466598

9781461466598

OCLC:

841226155

Access Restriction:

Restricted for use by site license