跳到内容
The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis 预览资料
关闭预览资料
正在查...

The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis

著者: Lars Hörmander
出版商: Berlin ; Heidelberg ; New York : Springer, cop. 1990.
丛书: Springer study edition.
版本/格式:   打印图书 : 英语 : Second edition查看所有的版本和格式
数据库:WorldCat
提要:

The main change in this edition is the inclusion of exercises with answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself  再读一些...

评估:

(尚未评估) 0 附有评论 - 争取成为第一个。

主题
更多类似这样的

 

在图书馆查找

&AllPage.SpinnerRetrieving; 正在查找有这资料的图书馆...

详细书目

文档类型 图书
所有的著者/提供者: Lars Hörmander
ISBN: 038752343X 9780387523439 354052343X 9783540523437
OCLC号码: 490243564
注释: Paru en 1983 dans la coll. "Grundlehren der mathematischen Wissenschaften" Band 256.
描述: 1 vol. (XI-440 p.) ; 24 cm.
内容: I. 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.- II. Definition and Basic Properties of Distributions.- Summary.- 2.1. Basic Definitions.- 2.2. Localization.- 2.3. Distributions with Compact Support.- Notes.- III. 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.- IV. 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.- V. Distributions in Product Spaces.- Summary.- 5.1. Tensor Products.- 5.2. The Kernel Theorem.- Notes.- VI. 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.- VII. The Fourier Transformation.- Summary.- 7.1. The Fourier Transformation in ? and in ?'.- 7.2. Poisson's Summation Formula and Periodic Distributions.- 7.3. The Fourier-Laplace Transformation in ?'.- 7.4. More General Fourier-Laplace Transforms.- 7.5. The Malgrange Preparation 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.- VIII. 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 CL.- 8.5. Rules of Computation for WFL.- 8.6. WFL for Solutions of Partial Differential Equations.- 8.7. Microhyperbolicity.- Notes.- IX. Hyperfunctions.- Summary.- 9.1. Analytic Functionals.- 9.2. General Hyperfunctions.- 9.3. The Analytic Wave Front Set of a Hyperfunction.- 9.4. The Analytic Cauchy Problem.- 9.5. Hyperfunction Solutions of Partial Differential Equations.- 9.6. The Analytic Wave Front Set and the Support.- Notes.- Exercises.- Answers and Hints to All the Exercises.- Index of Notation.
丛书名: Springer study edition.
责任: Lars Hörmander.

评论

社评

出版商概要

.,." it is the best now available in print. ... All the theorems are there (among them the Schwartz kernel theorem), and all they have ... proofs." Bulletin of the American Mathematical Society"It 再读一些...

 
用户提供的评论
正在获取GoodReads评论...
正在检索DOGObooks的评论

标签

争取是第一个!
确认申请

你可能已经申请过这份资料。如果还是想申请,请选确认。

链接数据


Primary Entity

<http://www.worldcat.org/oclc/490243564> # The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "490243564" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1433010424#Place/heidelberg> ; # Heidelberg
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1433010424#Place/berlin> ; # Berlin
   schema:about <http://experiment.worldcat.org/entity/work/data/1433010424#Topic/distributions_theorie_des_analyse_fonctionnelle> ; # Distributions, Théorie des (analyse fonctionnelle)
   schema:about <http://dewey.info/class/515.7/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/1433010424#Topic/fourier_analyse_de> ; # Fourier, Analyse de
   schema:about <http://experiment.worldcat.org/entity/work/data/1433010424#Topic/equations_aux_derivees_partielles> ; # Équations aux dérivées partielles
   schema:about <http://experiment.worldcat.org/entity/work/data/1433010424#Topic/fonctions_de_plusieurs_variables_complexes> ; # Fonctions de plusieurs variables complexes
   schema:about <http://experiment.worldcat.org/entity/work/data/1433010424#Topic/operateurs_differentiels_partiels> ; # Opérateurs différentiels partiels
   schema:about <http://experiment.worldcat.org/entity/work/data/1433010424#Topic/calcul_differentiel> ; # Calcul différentiel
   schema:author <http://experiment.worldcat.org/entity/work/data/1433010424#Person/hormander_lars_1931_2012> ; # Lars Hörmander
   schema:bookEdition "Second edition." ;
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "1990" ;
   schema:copyrightYear "op." ;
   schema:datePublished "1990" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1433010424> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1433010424#Series/springer_study_edition> ; # Springer study edition.
   schema:name "The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis" ;
   schema:productID "490243564" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/490243564#PublicationEvent/berlin_heidelberg_new_york_springer_cop_1990> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1433010424#Agent/springer> ; # Springer
   schema:workExample <http://worldcat.org/isbn/9780387523439> ;
   schema:workExample <http://worldcat.org/isbn/9783540523437> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/490243564> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Person/hormander_lars_1931_2012> # Lars Hörmander
    a schema:Person ;
   schema:birthDate "1931" ;
   schema:deathDate "2012" ;
   schema:familyName "Hörmander" ;
   schema:givenName "Lars" ;
   schema:name "Lars Hörmander" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Series/springer_study_edition> # Springer study edition.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/490243564> ; # The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis
   schema:name "Springer study edition." ;
   schema:name "Springer study edition" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Topic/calcul_differentiel> # Calcul différentiel
    a schema:Intangible ;
   schema:name "Calcul différentiel" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Topic/distributions_theorie_des_analyse_fonctionnelle> # Distributions, Théorie des (analyse fonctionnelle)
    a schema:Intangible ;
   schema:name "Distributions, Théorie des (analyse fonctionnelle)" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Topic/equations_aux_derivees_partielles> # Équations aux dérivées partielles
    a schema:Intangible ;
   schema:name "Équations aux dérivées partielles" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Topic/fonctions_de_plusieurs_variables_complexes> # Fonctions de plusieurs variables complexes
    a schema:Intangible ;
   schema:name "Fonctions de plusieurs variables complexes" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Topic/fourier_analyse_de> # Fourier, Analyse de
    a schema:Intangible ;
   schema:name "Fourier, Analyse de" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Topic/operateurs_differentiels_partiels> # Opérateurs différentiels partiels
    a schema:Intangible ;
   schema:name "Opérateurs différentiels partiels" ;
    .

<http://worldcat.org/isbn/9780387523439>
    a schema:ProductModel ;
   schema:isbn "038752343X" ;
   schema:isbn "9780387523439" ;
    .

<http://worldcat.org/isbn/9783540523437>
    a schema:ProductModel ;
   schema:isbn "354052343X" ;
   schema:isbn "9783540523437" ;
    .

<http://www.worldcat.org/title/-/oclc/490243564>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
   schema:about <http://www.worldcat.org/oclc/490243564> ; # The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis
   schema:dateModified "2017-07-08" ;
   void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

关闭窗口

请登入WorldCat 

没有张号吗?很容易就可以 建立免费的账号.