复与p进位分析中有关值分布及微分性的一些论题

图书标准信息

• 作者 A.Escassut、W.Tutschke、C.C.Yang 著
• 出版社 科学出版社
• 出版时间 2008-01
• 版次 1
• ISBN 9787030204066
• 定价 98.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 631页
• 正文语种 简体中文

【内容简介】

Therecentadvancements，newresultsandapplicationsofcomplexanalysisandp-adicanalysisareratherextensive.Inthisbook，thefocuscentersonthosetopicswhichpertaintotwointrinsicpropertiesofanalyticfunctions：valuedistributionandcomplexdifferentiability.Complexanalysisandp-adicanalysisaretwocloselylinked，oldbranchesofmathematicsthathaveplayedaprominentroleinthedevelopmentofmodemmathematics.

【目录】

Preface
ListofContributors
PartⅠValueDistributionofComplexandP-adicFunctions
Chapter1TheSecondMainTheoremonGeneralizedParabolicManifolds
1.1Monge-Ampereequationsandgeneralizedparabolicmanifolds
1.2ProjectivizedbundlesoverSteinmanifolds
1.3Meromorphicglobalforms
1.4AnalyticandalgebraicPliickerFormulas：Theclassicalcase
1.5Pluckersformulasforgeneralizedparabolicmanifolds
1.6AnanalogueoftheAhlfors-Stollestimate
1.7Thesecondmaintheorem

Chapter2P-adicValueDistribution
2.1Ultrametricanalyticfunctions
2.2Lazardsproblemandp-adicNevanlinnatheory
2.3ApplicationsoftheNevanlinnatheory

Chapter3SurveyonMeromorphicFunctionsofUniqueness
3.1Introductionandbasicresults
3.2Mainresultsandexamples

Chapter4ASurveyonUniquenessPolynomialsandUniqueRangeSets
4.1Meromorphicfunctionssharingpoints
4.2Uniquerangesetformeromorphicfunctions
4.3Uniquenesspolynomialsformeromorphicfunctions

Chapter5OnPetrenkosTheoryofGrowthofMeromorphicFunctions
5.1Thegrowthoffunctionsmeromorphicintheplane
5.2Thegrowthoffunctionsmeromorphicinthedisc
5.3Separatedmaximummoduluspointsofentireandmeromorphicfunctions
5.4Strongasymptoticvaluesandstrongasymptoticspotsofentireandmeromorphicfunctions

Chapter6LinearOperators，FourierTransformsandtheRiemannξ-function
6.1TheLaguerre-P61yaclassandtheRiemannξ-function
6.2Complexzerodecreasingsequencesandλ-sequences
6.3ThedistributionofzerosofFouriertransforms
6.4InfiniteorderdifferentialoperatorsandtheRiemannξ-function

Chapter7HyperbolicHypersurfacesofLowerDegrees
7.1Introductionandmaintechniques
7.2Hyperboliccurves
7.3Hyperbolicsurfaces
7.4HyperbolichypersurfacesinP4（C）

Chapter8AdmissibleSolutionsofFunctionalEquationsofDiophantineType
8.1Introduction
8.2Backgroundandresults
8.3Preliminarylemmas
8.4Proofsoftheresults
PartⅡNewApplicationsoftheConceptofDifferentiability
PartⅢBoundaryValueProblems