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Approximation Theory and Harmonic Analysis on Spheres and Balls

SMM: APPRXMTN THEORY & HARMONIC ANAL ON SPHERES & BALLS

Mathematics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

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.

POST SECONDARY FOUR YEAR

COLFR

COLJR

COLSO

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Other Frontmatter.
Title Page.
Copyright Page.
Preface.
Dedication.
Contents.
Preamble.
1: Spherical Harmonics.
2: Convolution Operator and Spherical Harmonic Expansion.
3: Littlewood-Paley Theory and the Multiplier Theorem.
4: Approximation on the Sphere.
5: Weighted Polynomial Inequalities.
6: Cubature Formulas on Spheres.
7: Harmonic Analysis Associated with Reflection Groups.
8: Boundedness of Projection Operators and Ces&#x00E0;ro Means.
9: Projection Operators and Ces&#x00E0;ro Means in Lp Spaces.
10: Weighted Best Approximation by Polynomials.
11: Harmonic Analysis on the Unit Ball.
12: Polynomial Approximation on the Unit Ball.
13: Harmonic Analysis on the Simplex.
14: Applications.
Distance, Difference and Integral Formulas.
Jacobi and Related Orthogonal Polynomials.
References.
Index.
Symbol Index.

Approximation Theory and Harmonic Analysis on Spheres and Balls.css-1p8rvzy{position:absolute;padding-left:8px;}

Approximation Theory and Harmonic Analysis on Spheres and Balls