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| 作者 |
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L.Hormander
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| ISBN |
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7506272768
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| 页数 |
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440
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| 开本 |
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24开
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| 封面形式 |
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简裝本
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| 出版社 |
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世界图书出版公司
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| 出版日期 |
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2005-6-1
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| NT$ |
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618
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配送说明： 国际快递 ， 海运邮递 。
付款说明： 1. VISA、MASTER線上刷卡 2. 信用卡传真刷卡付款 3.
邮政划拨 4. 银行汇款
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Introduction
ChapterⅠ Test Functions
Summary
1.1 A review of Differential Calculus
1.2 Existence of Test Functions
1.3 Convolution
1.4 Cutoff Functions and Partitions of Unity
Notes
ChapterⅡ Definition and Basic Properties of Distributions
Summary
2.1 Basic Definitions
2.2 Localization
2.3 Distributions with Compact Support
Notes
ChapterⅢ Differentiation and Multiplication by Functions
Summary
3.1 Definition and Examples
3.2 Homogeneous Distributions
3.3 Some Fundamental Solutions
3.4 Evaluation of Some Integrals
Notes
ChapterⅣ Convolution
Summary
4.1 Convolution with a Smooth Function
4.2 Convolution of Distributions
4.3 The Theorem of Supports
4.4 The Role of Fundamental Solutions
4.5 Basic Lp Estimates for Convolutions
Notes
ChapterⅤ Distributions in Product Spaces
Summary
5.1 Tensor Products
5.2 The Kernel Theorem
Notes
ChapterⅥ Composition with Smooth Maps
Summary
6.1 Definitions
6.2 Some Fundamental Solutions
6.3 Distributions on a Manifold
6.4 The Tangent and Cotangent Bundles
Notes
ChapterⅦ The Fourier Transformation
Summary
7.1 The Fourier Transformation in and in
7.2 Poissons Summation Formula and Periodic Distributions
7.3 The Fourier-Laplace Transformation in
7.4 More General Fourier-Laplace Transforms
7.5 The Malgrange Preparatio Theorem
7.6 Fourier Transforms of Gaussian Functions
7.7 The Method of Stationary Phase
7.8 Oscillatory Integrals
7.9 H(s)Lp and Holder Estimates
Notes
ChapterⅧ Spectral Analysis of Singularities
Summary
8.1 The Wave Front Set
8.2 A Review of Operations with Distributions
8.3 The Wave Front Set of Solutions Of Partial Differential Equations
8.4 THe Wave Front Set With Respect to
8.5 Rules of Computation for WFL
8.6 WFL for Solutions of Partial Differential Equations
8.7 Microhyperbolicity
Notes
ChapterⅨ Hyperfunctions
Summary
……
Exercises
Answers and Hints to All the Exercises
Bibliography
Index
Index of Notation
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