skip to content
Introduction to hyperfunctions and their integral transforms : an applied and computational approach Preview this item
ClosePreview this item
Checking...

Introduction to hyperfunctions and their integral transforms : an applied and computational approach

Author: Urs Graf
Publisher: Basel : Birkhäuser, ©2010.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Lehrbuch
Additional Physical Format: Print version:
Graf, Urs, 1943-
Introduction to hyperfunctions and their integral transforms.
Basel : Birkhäuser, ©2010
(DLC) 2010921343
(OCoLC)471801915
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Urs Graf
ISBN: 9783034604086 3034604084 9783034604079 3034604076
OCLC Number: 697159937
Description: 1 online resource (xi, 415 pages) : illustrations
Contents: Preface --
1 Introduction to Hyperfunctions --
2 Analytic Properties --
3 Laplace Transforms --
4 Fourier Transforms --
5 Hilbert Transforms --
6 Mellin Transforms --
7 Hankel Transforms --
A Complements --
B Tables --
List of Symbols --
Bibliography. Index.
Responsibility: Urs Graf.

Abstract:

This textbook presents an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable. It includes many  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews: "The intended audience of the book is advanced undergraduate students, graduate students, and research professionals in mathematical sciences. The book can serve as a research Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/697159937> # Introduction to hyperfunctions and their integral transforms : an applied and computational approach
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "697159937" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/813386786#Place/basel> ; # Basel
    schema:about <http://id.worldcat.org/fast/965753> ; # Hyperfunctions
    schema:about <http://experiment.worldcat.org/entity/work/data/813386786#Topic/hyperfunktion> ; # Hyperfunktion
    schema:about <http://experiment.worldcat.org/entity/work/data/813386786#Topic/integraltransformation> ; # Integraltransformation
    schema:about <http://id.worldcat.org/fast/1154653> ; # Transformations (Mathematics)
    schema:about <http://dewey.info/class/515.782/e22/> ;
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2010" ;
    schema:creator <http://viaf.org/viaf/78164461> ; # Urs Graf
    schema:datePublished "2010" ;
    schema:description "This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics."@en ;
    schema:description "Preface -- 1 Introduction to Hyperfunctions -- 2 Analytic Properties -- 3 Laplace Transforms -- 4 Fourier Transforms -- 5 Hilbert Transforms -- 6 Mellin Transforms -- 7 Hankel Transforms -- A Complements -- B Tables -- List of Symbols -- Bibliography. Index."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/813386786> ;
    schema:genre "Electronic books"@en ;
    schema:genre "Lehrbuch"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/471801915> ;
    schema:name "Introduction to hyperfunctions and their integral transforms : an applied and computational approach"@en ;
    schema:productID "697159937" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/697159937#PublicationEvent/basel_birkhauser_2010> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/813386786#Agent/birkhauser> ; # Birkhäuser
    schema:url <http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks2/springer/2011-02-17/1/9783034604086> ;
    schema:url <http://dx.doi.org/10.1007/978-3-0346-0408-6> ;
    schema:url <http://site.ebrary.com/id/10439860> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-0346-0408-6> ;
    schema:workExample <http://worldcat.org/isbn/9783034604079> ;
    schema:workExample <http://worldcat.org/isbn/9783034604086> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/697159937> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/813386786#Topic/integraltransformation> # Integraltransformation
    a schema:Intangible ;
    schema:name "Integraltransformation"@en ;
    .

<http://id.worldcat.org/fast/1154653> # Transformations (Mathematics)
    a schema:Intangible ;
    schema:name "Transformations (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/965753> # Hyperfunctions
    a schema:Intangible ;
    schema:name "Hyperfunctions"@en ;
    .

<http://viaf.org/viaf/78164461> # Urs Graf
    a schema:Person ;
    schema:birthDate "1943" ;
    schema:familyName "Graf" ;
    schema:givenName "Urs" ;
    schema:name "Urs Graf" ;
    .

<http://worldcat.org/isbn/9783034604079>
    a schema:ProductModel ;
    schema:isbn "3034604076" ;
    schema:isbn "9783034604079" ;
    .

<http://worldcat.org/isbn/9783034604086>
    a schema:ProductModel ;
    schema:isbn "3034604084" ;
    schema:isbn "9783034604086" ;
    .

<http://www.worldcat.org/oclc/471801915>
    a schema:CreativeWork ;
    rdfs:label "Introduction to hyperfunctions and their integral transforms." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/697159937> ; # Introduction to hyperfunctions and their integral transforms : an applied and computational approach
    .

<http://www.worldcat.org/title/-/oclc/697159937>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/697159937> ; # Introduction to hyperfunctions and their integral transforms : an applied and computational approach
    schema:dateModified "2016-08-28" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.