標題: Titlebook: Approximation Theory and Harmonic Analysis on Spheres and Balls; Feng Dai,Yuan Xu Book 2013 Springer Science+Business Media New York 2013 [打印本頁] 作者: FAULT 時間: 2025-3-21 16:52
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書目名稱Approximation Theory and Harmonic Analysis on Spheres and Balls讀者反饋學科排名
作者: 的闡明 時間: 2025-3-21 22:55 作者: 離開真充足 時間: 2025-3-22 02:48 作者: 開玩笑 時間: 2025-3-22 06:29
Approximation on the Sphere,, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on . is described by the modulus of smoothness, defined via the forward differen作者: contradict 時間: 2025-3-22 09:15
Weighted Polynomial Inequalities,be established in this chapter. Since some of them will be needed in weighted approximation theory and harmonic analysis in later chapters, we prove them in the weighted .. norm. We will work in the context of doubling weights, defined and discussed in the first section. A fundamental tool in our ap作者: visual-cortex 時間: 2025-3-22 15:34
Cubature Formulas on Spheres,ocesses of approximation. Cubature formulas, a synonym for numerical integration formulas, are essential tools for discretizing integrals. In contrast to the one-variable case, fundamental problems of cubature formulas in several variables are still open, including those on the sphere. In this chapt作者: STING 時間: 2025-3-22 20:43
Harmonic Analysis Associated with Reflection Groups, on the sphere is replaced by a family of weighted measures invariant under a finite reflection group, and the Laplace operator is replaced by a sum of squares of Dunkl operators, a family of commuting first-order differential–difference operators. Our goal is to lay the foundation for developing we作者: squander 時間: 2025-3-23 00:18
,Boundedness of Projection Operators and Cesàro Means,underlying structure. In this chapter, we establish the boundedness of the Cesáro means for .-harmonic expansions with respect to the product weights ...(.) = ... | .. | .. on the sphere. The main results are stated and discussed in the first section. The central piece of the proof is a pointwise es作者: 歹徒 時間: 2025-3-23 05:13
,Projection Operators and Cesàro Means in ,, Spaces, the critical index ., and furthermore, they are bounded under the same condition as that of the Bochner–Riesz means. In this chapter, we establish such results for .-harmonic expansions with respect to the product ., which cover results for ordinary spherical harmonic expansions. The proof of such 作者: 過份好問 時間: 2025-3-23 08:22 作者: 偏見 時間: 2025-3-23 13:19
Harmonic Analysis on the Unit Ball, however, that analysis on the unit ball is closely related to analysis on the unit sphere. Indeed, a large portion of harmonic analysis on the unit ball can be deduced from its counterparts on the sphere.作者: Nebulous 時間: 2025-3-23 16:47 作者: 套索 時間: 2025-3-23 19:33 作者: Harpoon 時間: 2025-3-24 02:10
Harmonic Analysis Associated with Reflection Groups,ighted 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.作者: myalgia 時間: 2025-3-24 05:51
1439-7382 ful research material for both experts and advanced graduate.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 mate作者: 討好美人 時間: 2025-3-24 08:45
https://doi.org/10.1007/978-3-662-32547-6the Poisson integrals for the Fourier expansion in spherical harmonics, discussed in the second section, are convolution operators, which are also multiplier operators. The convolution and translation operators are used to define and study the Hardy–Littlewood maximal function on the sphere in the third section.作者: 陰險 時間: 2025-3-24 10:42 作者: Lasting 時間: 2025-3-24 18:39
Zeitschrift für die gesamte Anatomiech results for .-harmonic expansions with respect to the product ., which cover results for ordinary spherical harmonic expansions. The proof of such results depends on the boundedness of proj ection operators, which will be established in the first section, assuming a critical estimate.作者: FEAT 時間: 2025-3-24 21:19 作者: 舊病復發(fā) 時間: 2025-3-25 00:17 作者: INCH 時間: 2025-3-25 06:38 作者: obeisance 時間: 2025-3-25 09:18 作者: Pelvic-Floor 時間: 2025-3-25 12:18 作者: 心胸開闊 時間: 2025-3-25 17:23 作者: Entirety 時間: 2025-3-25 21:47
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.作者: Ceramic 時間: 2025-3-26 03:57
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作者: 平躺 時間: 2025-3-26 04:19 作者: RUPT 時間: 2025-3-26 11:31
,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.作者: 全等 時間: 2025-3-26 13:19
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.作者: Anthrp 時間: 2025-3-26 20:19
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..作者: 賞心悅目 時間: 2025-3-26 21:24
Approximation Theory and Harmonic Analysis on Spheres and Balls978-1-4614-6660-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 作者: annexation 時間: 2025-3-27 02:51
O. Lubarsch,R. Ostertag,F. Roulet, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on . is described by the modulus of smoothness, defined via the forward difference of the function.作者: Perennial長期的 時間: 2025-3-27 08:46 作者: Pepsin 時間: 2025-3-27 09:41
https://doi.org/10.1007/978-3-642-86623-4mated,similar to what we did on the unit sphere in Chap. 4. There is, however, an essential difference between approximations on the unit ball and those on the unit sphere, which arises from the simple fact that the ball is a domain with boundary, whereas the sphere has no boundary.作者: Dealing 時間: 2025-3-27 13:58 作者: 骨 時間: 2025-3-27 19:07 作者: 推遲 時間: 2025-3-27 22:17 作者: 極少 時間: 2025-3-28 03:06 作者: 分開 時間: 2025-3-28 10:05 作者: 小溪 時間: 2025-3-28 11:04 作者: Entreaty 時間: 2025-3-28 14:57 作者: Cardiac 時間: 2025-3-28 21:18 作者: climax 時間: 2025-3-28 23:50
O. Lubarsch,R. Ostertag,F. Roulet, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on . is described by the modulus of smoothness, defined via the forward differen作者: aesthetic 時間: 2025-3-29 04:35 作者: 他去就結束 時間: 2025-3-29 09:41 作者: 消滅 時間: 2025-3-29 14:57
O. Lubarsch,R. Ostertag,W. H. Stefko on the sphere is replaced by a family of weighted measures invariant under a finite reflection group, and the Laplace operator is replaced by a sum of squares of Dunkl operators, a family of commuting first-order differential–difference operators. Our goal is to lay the foundation for developing we作者: insomnia 時間: 2025-3-29 15:48 作者: 閑聊 時間: 2025-3-29 22:17 作者: 只有 時間: 2025-3-30 02:17 作者: 苦澀 時間: 2025-3-30 07:52 作者: 靈敏 時間: 2025-3-30 09:10
https://doi.org/10.1007/978-3-642-86623-4mated,similar to what we did on the unit sphere in Chap. 4. There is, however, an essential difference between approximations on the unit ball and those on the unit sphere, which arises from the simple fact that the ball is a domain with boundary, whereas the sphere has no boundary.作者: Acetaminophen 時間: 2025-3-30 16:04 作者: heckle 時間: 2025-3-30 18:15
Feng Dai,Yuan XuWritten by experts in the field.Contains up-to-date research in approximation theory and harmonic analysis on balls and spheres.Provides useful research material for both experts and advanced graduate作者: panorama 時間: 2025-3-30 22:30 作者: Optimum 時間: 2025-3-31 03:21
https://doi.org/10.1007/978-3-642-91054-8This chapter contains several topics that can be regarded as applications of what we have developed in the previous chapters. The first topic is tight frames, an active research area that has potential applications in signal processing and sampling theory, among others.作者: 乞丐 時間: 2025-3-31 08:31
Applications,This chapter contains several topics that can be regarded as applications of what we have developed in the previous chapters. The first topic is tight frames, an active research area that has potential applications in signal processing and sampling theory, among others.
