Nonlinear superposition operators:
This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory diverges from classical...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1990
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Schriftenreihe: | Cambridge tracts in mathematics
95 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
Zusammenfassung: | This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory diverges from classical nonlinear analysis. The purpose of this book is to collect the basic facts about the superposition operator, to present the main ideas which are useful in studying its properties and to provide a comparison of its behaviour in different function spaces. Some applications are also considered, for example to control theory and optimization. Much of the work here has only appeared before in research literature, which itself is catalogued in detail here |
Beschreibung: | 1 Online-Ressource (311 Seite) |
ISBN: | 9780511897450 |
DOI: | 10.1017/CBO9780511897450 |
Internformat
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490 | 0 | |a Cambridge tracts in mathematics |v 95 | |
520 | |a This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory diverges from classical nonlinear analysis. The purpose of this book is to collect the basic facts about the superposition operator, to present the main ideas which are useful in studying its properties and to provide a comparison of its behaviour in different function spaces. Some applications are also considered, for example to control theory and optimization. Much of the work here has only appeared before in research literature, which itself is catalogued in detail here | ||
650 | 4 | |a Nonlinear operators | |
650 | 0 | 7 | |a Superpositionsoperator |0 (DE-588)4184122-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Nichtlinearer Operator |0 (DE-588)4225824-8 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Superpositionsoperator |0 (DE-588)4184122-0 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Nichtlinearer Operator |0 (DE-588)4225824-8 |D s |
689 | 1 | |5 DE-604 | |
700 | 1 | |a Zabrejko, Petr Petrovič |d 1939- |e Sonstige |0 (DE-588)110493575 |4 oth | |
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Datensatz im Suchindex
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any_adam_object | |
author | Appell, Jürgen 1952- |
author_GND | (DE-588)140990860 (DE-588)110493575 |
author_facet | Appell, Jürgen 1952- |
author_role | aut |
author_sort | Appell, Jürgen 1952- |
author_variant | j a ja |
building | Verbundindex |
bvnumber | BV043941777 |
classification_rvk | SK 600 SK 620 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511897450 (OCoLC)859644050 (DE-599)BVBBV043941777 |
dewey-full | 515.7248 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.7248 |
dewey-search | 515.7248 |
dewey-sort | 3515.7248 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511897450 |
format | Electronic eBook |
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id | DE-604.BV043941777 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:16Z |
institution | BVB |
isbn | 9780511897450 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350747 |
oclc_num | 859644050 |
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physical | 1 Online-Ressource (311 Seite) |
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publishDate | 1990 |
publishDateSearch | 1990 |
publishDateSort | 1990 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Cambridge tracts in mathematics |
spelling | Appell, Jürgen 1952- Verfasser (DE-588)140990860 aut Nonlinear superposition operators Jürgen Appell, Petr P. Zabrejko Cambridge Cambridge University Press 1990 1 Online-Ressource (311 Seite) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 95 This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory diverges from classical nonlinear analysis. The purpose of this book is to collect the basic facts about the superposition operator, to present the main ideas which are useful in studying its properties and to provide a comparison of its behaviour in different function spaces. Some applications are also considered, for example to control theory and optimization. Much of the work here has only appeared before in research literature, which itself is catalogued in detail here Nonlinear operators Superpositionsoperator (DE-588)4184122-0 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 gnd rswk-swf Superpositionsoperator (DE-588)4184122-0 s DE-604 Nichtlinearer Operator (DE-588)4225824-8 s Zabrejko, Petr Petrovič 1939- Sonstige (DE-588)110493575 oth Erscheint auch als Druck-Ausgabe 978-0-521-09093-3 Erscheint auch als Druck-Ausgabe 978-0-521-36102-6 https://doi.org/10.1017/CBO9780511897450 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Appell, Jürgen 1952- Nonlinear superposition operators Nonlinear operators Superpositionsoperator (DE-588)4184122-0 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd |
subject_GND | (DE-588)4184122-0 (DE-588)4225824-8 |
title | Nonlinear superposition operators |
title_auth | Nonlinear superposition operators |
title_exact_search | Nonlinear superposition operators |
title_full | Nonlinear superposition operators Jürgen Appell, Petr P. Zabrejko |
title_fullStr | Nonlinear superposition operators Jürgen Appell, Petr P. Zabrejko |
title_full_unstemmed | Nonlinear superposition operators Jürgen Appell, Petr P. Zabrejko |
title_short | Nonlinear superposition operators |
title_sort | nonlinear superposition operators |
topic | Nonlinear operators Superpositionsoperator (DE-588)4184122-0 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd |
topic_facet | Nonlinear operators Superpositionsoperator Nichtlinearer Operator |
url | https://doi.org/10.1017/CBO9780511897450 |
work_keys_str_mv | AT appelljurgen nonlinearsuperpositionoperators AT zabrejkopetrpetrovic nonlinearsuperpositionoperators |