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江苏南京

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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

装帧平装

货号ST108/9787510070310

上书时间2024-09-23

已实名已认证进店收藏店铺

【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