无限维空间上的复分析

图书标准信息

• 作者 [爱]丁南（Dineen S.） 著
• 出版社 世界图书出版公司
• 出版时间 2014-04
• 版次 1
• ISBN 9787510070310
• 定价 89.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 543页
• 正文语种 英语

【内容简介】

　　Infinitedimensionalholomorphyisthestudyofholomorphicoranalyticfunctionsovercomplextopologicalvectorspaces.Thetermsinthisdescriptionareeasilystatedandexplainedandallowthesubjecttoprojectitselfinitially，andinnocently，asacompacttheorywithwelldefinedboundaries.However，acomprehensivestudywouldincludedelvinginto，andinteractingwith，notonlytheobvioustopicsoftopology，severalcomplexvariablestheoryandfunctionalanalysisbutalso，differentialgeometry，Jordanalgebras，Liegroups，operatortheory，logic，differentialequationsandfixedpointtheory.Thisdiversityleadstoadynamicsynthesisofideasandtoanappreciationofaremarkablefeatureofmathematics-itsunity.Unityrequiressynthesiswhilesynthesisleadstounity.

【目录】

Chapter1Polynomials
1.1ContinuousPolynomials_
1.2TopologiesonSpacesofPolynomials
1.3GeometryofSpacesofPolynomials
1.4Exercises
1.5Notes

Chapter2.DualityTheoryforPolynomials
2.1SpecialSpacesofPolynomialsandtheApproximationProperty
2.2NuclearSpaces
2.3IntegralPolynomialsandtheRadon-NikodymProperty
2.4ReflexivityandRelatedConcepts
2.5Exercises
2.6Notes

Chapter3.HolomorphicMappingsbetweenLocallyConvexSpaces
3.1HolomorphicFunctions_
3.2TopologiesonSpacesofHolomorphicMappings
3.3TheQuasi-LocalTheoryofHolomorphicFunctions
3.4PolynomialsintheQuasi-LocalTheory
3.5Exercises
3.6Notes

Chapter4.DecompositionsofHolomorphicFunctions
Chapter5.RiemannDomains
Chapter6.HolomorphicExtensions