skip to content
Generalized analytic functions Preview this item
ClosePreview this item
Checking...

Generalized analytic functions

Author: I N Vekua; Ian Naismith Sneddon; S Ulam; M Stark
Publisher: Oxford ; New York : Pergamon Press, 1962.
Series: International series of monographs in pure and applied mathematics, v. 25.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Rating:

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

Subjects
More like this

Find a copy in the library

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

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Vekua, I.N. (Ilʹi︠a︡ Nestorovich), 1907-1977.
Generalized analytic functions.
Oxford, New York, Pergamon Press, 1962
(DLC) 62009699
(OCoLC)1062888
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: I N Vekua; Ian Naismith Sneddon; S Ulam; M Stark
ISBN: 9781483184678 1483184676
OCLC Number: 898771832
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xxix, 668 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Front Cover; Generalized Analytic Functions; Copyright Page; ANNOTATION; Table of Contents; FOREWORD; PART ONE: FOUNDATIONS OF THE GENERAL THEORY OF GENERALIZED ANALYTIC FUNCTIONS AND BOUNDARYVALUE PROBLEMS; CHAPTER I. SOME CLASSES OF FUNCTIONS ANDOPERATORS; 1. Classes of functions and functional spaces; 2. Classes of curves and domains. Some properties of conformalmapping; 3. Some properties of Cauchy type integrals; 4· Non-homogeneous Cauchy-Riemann system; 5. Generalized derivatives in the Sobolev sense and theirproperties; 6. Properties of the operatorTg. 7. Green's formula for the class of functions D1p. Arealderivative8. On differential properties of functions of the form TGf. OperatorII; 9. Extension of the operatorII; 10. Some other properties of functions of the classes DZ(G)and D-Z(G; CHAPTEE II. REDUCTION OF A POSITIVE DIFFERENTIAL QUADRATIC FORM TO THE CANONICAL FORM. BELTRAMFS EQUATION. GEOMETRICAPPLICATIONS; 1. Introductory remarks. Homeomorphisms of a quadraticform; 2. Beltrami's system of equations; 3. Construction of the basic homeomorphism of Beltrami'sequation; 4. Proof of existence of a local homeomorphism. 5. Proof of the existence of a complete homeomorphism6. Reduction of a positive quadratic differential form to the canonical form· Isometric and isometric-conjugate coordinatesystems on a surface; 7. Reduction of equations of elliptic type to the canonicalform; CHAPTER III. FOUNDATIONS OF THE GENERAL THEORY OFGENERALIZED ANALYTIC FUNCTIONS; 1. Basic concepts, terminology and notations; 2. Integral equation for functions of the class; 3. Continuity and differentiability properties of functions of theclass; 4. Basic lemma. Generalizations of some classical theorems. 5. Integral representation of the second kind for generalizedanalytic functions6. Generating pair of functions of the classDerivative in the Bers sense; 7. Inversion of the non-linear integralequation; 8. Systems of fundamental generalized analytic functions andfundamental kernels of tbe class; 9. Adjoint equation. Green's identity. Equations of thesecond order; 10. Generalized Cauchy formula; 11. Continuous continuations of generalized analytic functions. Generalized principle of symmetry; 12. Compactness; 13. Representation of resolvents by means of kernels. 14. Representation of generalized analytic functions by meansof generalized integrals of the Cauchy type15. Complete systems of generalized analytic functions. Generalized power series; 16. Integral equations for the real part of a generalizedanalytic function; 17. Properties of solutions of elliptic systems of equationsof the general form; CHAPTER IV. BOUNDARY VALUE PROBLEMS; 1. Formulation of the generalized Riemann-Hilbert problem. Continuity properties of the solution of the problem; 2. The adjoint boundary value Problem Â'. Necessary and sufficient conditionsof solubility of Problem A. 3. Index of Problem A. Reduction of the boundary conditionof Problem A to the canonical form.
Series Title: International series of monographs in pure and applied mathematics, v. 25.
Other Titles: Obobshchennye analiticheskie funt︠s︡ii.
Responsibility: by I.N. Vekua ; English translation editor, Ian N. Sneddon.

Reviews

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/898771832> # Generalized analytic functions
    a schema:MediaObject, schema:Book, schema:CreativeWork ;
   bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/898771832#CreativeWork/unidentifiedOriginalWork> ; # Obobshchennye analiticheskie funt︠s︡ii.
   library:oclcnum "898771832" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/462374515#Place/oxford> ; # Oxford
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://experiment.worldcat.org/entity/work/data/462374515#Topic/analytic_functions> ; # Analytic functions
   schema:about <http://dewey.info/class/515.9/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/462374515#Topic/mathematics_calculus> ; # MATHEMATICS--Calculus
   schema:about <http://experiment.worldcat.org/entity/work/data/462374515#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS--Mathematical Analysis
   schema:bookFormat schema:EBook ;
   schema:contributor <http://experiment.worldcat.org/entity/work/data/462374515#Person/stark_m> ; # M. Stark
   schema:contributor <http://experiment.worldcat.org/entity/work/data/462374515#Person/ulam_s> ; # S. Ulam
   schema:contributor <http://experiment.worldcat.org/entity/work/data/462374515#Person/sneddon_ian_naismith> ; # Ian Naismith Sneddon
   schema:creator <http://experiment.worldcat.org/entity/work/data/462374515#Person/vekua_i_n_ilia_nestorovich_1907_1977> ; # Ilʹi︠a︡ Nestorovich Vekua
   schema:datePublished "1962" ;
   schema:description "Front Cover; Generalized Analytic Functions; Copyright Page; ANNOTATION; Table of Contents; FOREWORD; PART ONE: FOUNDATIONS OF THE GENERAL THEORY OF GENERALIZED ANALYTIC FUNCTIONS AND BOUNDARYVALUE PROBLEMS; CHAPTER I. SOME CLASSES OF FUNCTIONS ANDOPERATORS; 1. Classes of functions and functional spaces; 2. Classes of curves and domains. Some properties of conformalmapping; 3. Some properties of Cauchy type integrals; 4· Non-homogeneous Cauchy-Riemann system; 5. Generalized derivatives in the Sobolev sense and theirproperties; 6. Properties of the operatorTg."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/462374515> ; # Obobshchennye analiticheskie funt︠s︡ii.
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/462374515#Series/international_series_of_monographs_in_pure_and_applied_mathematics> ; # International series of monographs in pure and applied mathematics ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/462374515#Series/international_series_of_monographs_on_pure_and_applied_mathematics> ; # International series of monographs on pure and applied mathematics ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/1062888> ;
   schema:name "Generalized analytic functions"@en ;
   schema:productID "898771832" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/898771832#PublicationEvent/oxford_new_york_pergamon_press_1962> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/462374515#Agent/pergamon_press> ; # Pergamon Press
   schema:url <http://site.ebrary.com/id/11003916> ;
   schema:url <http://catalog.hathitrust.org/api/volumes/oclc/1062888.html> ;
   schema:url <http://books.google.com/books?id=S4s5AAAAMAAJ> ;
   schema:url <http://www.sciencedirect.com/science/book/9780080096933> ;
   schema:url <http://books.google.com/books?id=PfQyAAAAMAAJ> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=931343> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=1901326> ;
   schema:url <http://ebookcentral.proquest.com/lib/ucm/detail.action?docID=1901326> ;
   schema:workExample <http://worldcat.org/isbn/9781483184678> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/898771832> ;
    .


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/462374515#Person/sneddon_ian_naismith> # Ian Naismith Sneddon
    a schema:Person ;
   schema:familyName "Sneddon" ;
   schema:givenName "Ian Naismith" ;
   schema:name "Ian Naismith Sneddon" ;
    .

<http://experiment.worldcat.org/entity/work/data/462374515#Person/vekua_i_n_ilia_nestorovich_1907_1977> # Ilʹi︠a︡ Nestorovich Vekua
    a schema:Person ;
   schema:birthDate "1907" ;
   schema:deathDate "1977" ;
   schema:familyName "Vekua" ;
   schema:givenName "Ilʹi︠a︡ Nestorovich" ;
   schema:givenName "I. N." ;
   schema:name "Ilʹi︠a︡ Nestorovich Vekua" ;
    .

<http://experiment.worldcat.org/entity/work/data/462374515#Series/international_series_of_monographs_in_pure_and_applied_mathematics> # International series of monographs in pure and applied mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/898771832> ; # Generalized analytic functions
   schema:name "International series of monographs in pure and applied mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/462374515#Series/international_series_of_monographs_on_pure_and_applied_mathematics> # International series of monographs on pure and applied mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/898771832> ; # Generalized analytic functions
   schema:name "International series of monographs on pure and applied mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/462374515#Topic/mathematics_calculus> # MATHEMATICS--Calculus
    a schema:Intangible ;
   schema:name "MATHEMATICS--Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/462374515#Topic/mathematics_mathematical_analysis> # MATHEMATICS--Mathematical Analysis
    a schema:Intangible ;
   schema:name "MATHEMATICS--Mathematical Analysis"@en ;
    .

<http://worldcat.org/entity/work/id/462374515> # Obobshchennye analiticheskie funt︠s︡ii.
   schema:name "Obobshchennye analiticheskie funt︠s︡ii." ;
    .

<http://worldcat.org/isbn/9781483184678>
    a schema:ProductModel ;
   schema:isbn "1483184676" ;
   schema:isbn "9781483184678" ;
    .

<http://www.worldcat.org/oclc/1062888>
    a schema:CreativeWork ;
   rdfs:label "Generalized analytic functions." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/898771832> ; # Generalized analytic functions
    .

<http://www.worldcat.org/title/-/oclc/898771832#CreativeWork/unidentifiedOriginalWork> # Obobshchennye analiticheskie funt︠s︡ii.
    a schema:CreativeWork ;
   schema:inLanguage "ru" ;
   schema:name "Obobshchennye analiticheskie funt︠s︡ii." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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