Titlebook: Approximation Theory and Harmonic Analysis on Spheres and Balls; Feng Dai,Yuan Xu Book 2013 Springer Science+Business Media New York 2013

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Pelvic-Floor

心胸開闊

Entirety

Harmonic Analysis on the Simplex,minded map from the simplex to the positive quadrant of the unit ball is an isomorphism between orthogonal polynomials on the simplex and those orthogonal polynomials on the unit ball that are even in every variable. A large portion of the harmonic analysis on the simplex can be deduced from the corresponding part on the unit ball.

Ceramic

Book 2013seful 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 las

平躺

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,Boundedness of Projection Operators and Cesàro Means,e second section, and the pointwise estimate of the kernels is given in the third section, from which the upper bound of the norm of (., .) means is deduced in the fourth section. Finally, a lower estimate of the norm is given in the fifth section.

全等

O. Lubarsch,R. Ostertag,W. H. Stefkoighted approximation and harmonic analysis on the sphere, which turn out to be indispensable for the corresponding theory, even for unweighted approximation and harmonic analysis, on the unit ball and on the simplex, as will be seen in later chapters.

Anthrp

Book 2013ier 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..