コンテンツへ移動
The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis 資料のプレビュー
閉じる資料のプレビュー
確認中…

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

著者: Lars Hörmander
出版: Berlin ; Heidelberg ; New York : Springer, cop. 1990.
シリーズ: Springer study edition.
エディション/フォーマット:   book_printbook : English : Second editionすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:

Part of a 4-volume treatise, this book, the Volume I, presents an exposition of the theory of distributions.

評価:

(まだ評価がありません) 0 件のレビュー - 是非あなたから!

件名:
関連情報:

 

オフラインで入手

&AllPage.SpinnerRetrieving; この資料の所蔵館を検索中…

詳細

ドキュメントの種類: 図書
すべての著者/寄与者: Lars Hörmander
ISBN: 038752343X 9780387523439 354052343X 9783540523437
OCLC No.: 490243564
注記: Paru en 1983 dans la coll. "Grundlehren der mathematischen Wissenschaften" Band 256.
物理形態: 1 vol. (XI-440 p.) ; 24 cm.
コンテンツ: 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.
シリーズタイトル: Springer study edition.
責任者: Lars Hörmander.

レビュー

編集者のレビュー

出版社によるあらすじ

.,." 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 続きを読む

 
ユーザーレビュー
GoodReadsのレビューを取得中…
DOGObooksのレビューを取得中…

タグ

まずはあなたから!
リクエストの確認

あなたは既にこの資料をリクエストしている可能性があります。このリクエストを続行してよろしければ、OK を選択してください。

リンクデータ


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/832361#Place/berlin> ; # Berlin
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/832361#Place/heidelberg> ; # Heidelberg
    schema:about <http://dewey.info/class/515.7/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/832361#Topic/fonctions_de_plusieurs_variables_complexes> ; # Fonctions de plusieurs variables complexes
    schema:about <http://experiment.worldcat.org/entity/work/data/832361#Topic/distributions_theorie_des_analyse_fonctionnelle> ; # Distributions, Théorie des (analyse fonctionnelle)
    schema:about <http://experiment.worldcat.org/entity/work/data/832361#Topic/operateurs_differentiels_partiels> ; # Opérateurs différentiels partiels
    schema:about <http://experiment.worldcat.org/entity/work/data/832361#Topic/fourier_analyse_de> ; # Fourier, Analyse de
    schema:about <http://experiment.worldcat.org/entity/work/data/832361#Topic/equations_aux_derivees_partielles> ; # Équations aux dérivées partielles
    schema:about <http://experiment.worldcat.org/entity/work/data/832361#Topic/calcul_differentiel> ; # Calcul différentiel
    schema:author <http://viaf.org/viaf/61607686> ; # 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/832361> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/832361#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/832361#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/832361#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/832361#Topic/calcul_differentiel> # Calcul différentiel
    a schema:Intangible ;
    schema:name "Calcul différentiel" ;
    .

<http://experiment.worldcat.org/entity/work/data/832361#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/832361#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/832361#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/832361#Topic/fourier_analyse_de> # Fourier, Analyse de
    a schema:Intangible ;
    schema:name "Fourier, Analyse de" ;
    .

<http://experiment.worldcat.org/entity/work/data/832361#Topic/operateurs_differentiels_partiels> # Opérateurs différentiels partiels
    a schema:Intangible ;
    schema:name "Opérateurs différentiels partiels" ;
    .

<http://viaf.org/viaf/61607686> # Lars Hörmander
    a schema:Person ;
    schema:birthDate "1931" ;
    schema:deathDate "2012" ;
    schema:familyName "Hörmander" ;
    schema:givenName "Lars" ;
    schema:name "Lars Hörmander" ;
    .

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

<http://worldcat.org/isbn/9783540523437>
    a schema:ProductModel ;
    schema:description "rel" ;
    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 "2015-03-10" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

ウインドウを閉じる

WorldCatにログインしてください 

アカウントをお持ちではないですか?簡単に 無料アカウントを作成することができます。.