zum Inhalt wechseln
Distribution thoery and Fourier analysis. Titelvorschau
SchließenTitelvorschau
Prüfung…

Distribution thoery and Fourier analysis.

Verfasser/in: Lars Hörmander
Verlag: Berlin [u.a.] : Springer, 2003.
Serien: Classics in mathematics.; Analysis of linear partial differential operators / Lars Hörmander, 1.
Ausgabe/Format   Print book : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:

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

Bewertung:

(noch nicht bewertet) 0 mit Rezensionen - Verfassen Sie als Erste eine Rezension.

 

Exemplar ausleihen

&AllPage.SpinnerRetrieving; Suche nach Bibliotheken, die diesen Titel besitzen ...

Details

Dokumenttyp: Buch
Alle Autoren: Lars Hörmander
ISBN: 3540006621 9783540006626
OCLC-Nummer: 255590585
Anmerkungen: Originally publ. as Vol. 256 in the series: Grundlehren der mathematischen Wissenschaften in 1983 and 1990 and thereafter as a Springer Study Edition in 1990.
Fußnote zur Reproduktion Reprint of the 2. ed. 1990.
Beschreibung: XI, 440 S.
Inhalt: 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.
Serientitel: Classics in mathematics.; Analysis of linear partial differential operators / Lars Hörmander, 1.

Rezensionen

Nutzer-Rezensionen
Suche nach GoodReads-Rezensionen
Suche nach DOGObooks-Rezensionen…

Tags

Tragen Sie als Erste Tags ein.
Anfrage bestätigen

Sie haben diesen Titel bereits angefordert. Wenn Sie trotzdem fortfahren möchten, klicken Sie auf OK.

Verlinkung


Primary Entity

<http://www.worldcat.org/oclc/255590585> # Distribution thoery and Fourier analysis.
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "255590585" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1433010424#Place/berlin_u_a> ; # Berlin u.a.
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/1433010424#Person/hormander_lars> ; # Lars Hörmander
   schema:datePublished "2003" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1433010424> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1433010424#Series/classics_in_mathematics> ; # Classics in mathematics.
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1433010424#Series/the_analysis_of_linear_partial_differential_operators_lars_hormander> ; # The analysis of linear partial differential operators / Lars Hörmander ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1433010424#Series/analysis_of_linear_partial_differential_operators_lars_hormander> ; # Analysis of linear partial differential operators / Lars Hörmander ;
   schema:name "Distribution thoery and Fourier analysis." ;
   schema:productID "255590585" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/255590585#PublicationEvent/berlin_u_a_springer_2003> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1433010424#Agent/springer> ; # Springer
   schema:workExample <http://worldcat.org/isbn/9783540006626> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/255590585> ;
    .


Related Entities

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

<http://experiment.worldcat.org/entity/work/data/1433010424#Series/analysis_of_linear_partial_differential_operators_lars_hormander> # Analysis of linear partial differential operators / Lars Hörmander ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/255590585> ; # Distribution thoery and Fourier analysis.
   schema:name "Analysis of linear partial differential operators / Lars Hörmander ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Series/classics_in_mathematics> # Classics in mathematics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/255590585> ; # Distribution thoery and Fourier analysis.
   schema:name "Classics in mathematics." ;
   schema:name "Classics in mathematics" ;
    .

<http://experiment.worldcat.org/entity/work/data/1433010424#Series/the_analysis_of_linear_partial_differential_operators_lars_hormander> # The analysis of linear partial differential operators / Lars Hörmander ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/255590585> ; # Distribution thoery and Fourier analysis.
   schema:name "The analysis of linear partial differential operators / Lars Hörmander ;" ;
    .

<http://worldcat.org/isbn/9783540006626>
    a schema:ProductModel ;
   schema:isbn "3540006621" ;
   schema:isbn "9783540006626" ;
    .


Content-negotiable representations

Fenster schließen

Bitte in WorldCat einloggen 

Sie haben kein Konto? Sie können sehr einfach ein kostenloses Konto anlegen,.