欧几里得空间的傅里叶分析txt,chm,pdf,epub,mobi下载 作者:stein 出版社: 世界图书出版公司 出版年: 2009-8 页数: 297 定价: 46.00元 ISBN: 9787510005329 内容简介 · · · · · ·《欧几里得空间的博里叶分析》内容简介:This book is designed to be an introduction to harmonic analysis inEuclidean spaces. The subject has seen a considerable flowering during thepast twenty years. We have not tried to cover all phases of this develop-ment. Rather, our chief concern was to illustrate various methods used inthis aspect of Fourier analysis that exploit the structure of Euclideanspa... 目录 · · · · · ·PrefaceCHAPTER Ⅰ The Fourier Transform 1. The basic L1 theory of the Fourier transform 2.The L2 theory and the Plancherel theorem 3.The class of tempered distributions 4.Further results · · · · · ·() Preface CHAPTER Ⅰ The Fourier Transform 1. The basic L1 theory of the Fourier transform 2.The L2 theory and the Plancherel theorem 3.The class of tempered distributions 4.Further results CHAPTER Ⅱ Boundary Values of Harmonic Functions 1.Basic properties of harmonic functions 2.The characterization of Poisson integrals 3.The Hardy-Littlewood maximal function and nontangential convergence of harmonic functions 4.Subharmonic functions and majorization by harmonic functions 5.Further results CHAPTER Ⅲ The Theory of Hp Spaces on Tubes 1.Introductory remarks 2.The H2 theory 3.Tubes over cones 4.The Paley-Wiener theorem 5.The Hp theory 6.Further results CHAPTER Ⅳ Symmetry Properties of the Fourier Transform 1.Decomposition of L2(Ez) intosub, paces invariant under the Fourier transform 2.Spherical harmonics 3.The action of the Fourier transform on the spaces 4.Some applications 5.Further results CHAPTER Ⅴ Interpolation of Operators 1.The M. Riesz convexity theorem and interpolation of operators defined on Lp spaces 2.The Marcinkiewicz interpolation theorem 3.L(p, q) spaces 4.Interpolation of analytic families of operators 5.Further results CHAPTER Ⅵ Singular Integrals and Systems of Conjugate Harmonic Functions 1.The Hilbert transform 2.Singular integral operators with odd kernels 3.Singular integral operators with even kernels 4.Hp spaces of conjugate harmonic functions 5.Further results CHAPTER Ⅶ Multiple Fourier Series 1.Elementary properties 2.The Poisson summation formula 3.Multiplier transformations 4.Summability below the critical index (negative results) 5.Summability below the critical index 6.Further results Bibliography Index · · · · · · () |
最新力作,好看
还没有看,不错
目录完整,很有吸引力。
出新了自然都买