單復變函數(shù)（第2卷）

定　價：￥65.00

作　者：	（美）John B.Conway著
出版社：	世界圖書出版公司北京公司
叢編項：	Graduate Texts in Mathematics
標　簽：	復變函數(shù)與積分變換

ISBN：	9787506233057	出版時間：	1997-01-01	包裝：	平裝
開本：	20cm	頁數(shù)：	394頁	字數(shù)：

內容簡介

暫缺《單復變函數(shù)（第2卷）》簡介

作者簡介

暫缺《單復變函數(shù)（第2卷）》作者簡介

圖書目錄

Preface
13ReturntoBasics
1RegionsandCurves
2DerivativesandOtherRecollections
3HarmonicConjugatesandPrimitives
4AnalyticAresandtheReflectionPrinciple
5BoundaryValuesforBoundedAnalyticFunctions
14ConformalEquivalenceforSimplyConnectedRegions
1ElementaryPropertiesandExamples
2Crosscuts
3PrimeEnds
4ImpressionsofaPrimeEnd
5BoundaryValuesofRiemannMaps
6TheAreaTheorem
7DiskMappings:TheClassS
15ConformalEquivalenceforFinitelyConnectedRegions
1AnalysisonaFinitelyConnectedRegion
2ConformalEquivalencewithanAnalyticJordanRegion
3BoundaryValuesforaConformalEquivalenceBetweenFinitely
ConnectedJordanRegions
4ConvergenceofUnivalentFunctions
5ConformalEquivalencewithaCircularlySlitAnnulus
6ConformalEquivalencewithaCircularlySlitDisk
7ConformalEquivalencewithaCircularRegion
16AnalyticCoveringMaps
1ResultsforAbstractCoveringSpaces
2AnalyticCoveringSpaces
3TheModularFunction
4ApplicationsoftheModularFunction
5TheExistenceoftheUniversalAnalyticCoveringMap
17DeBranges'sProofoftheBieberbachConjecture
1Subordination
2LoewnerChains
3Loewner'sDifferentialEquation
4TheMilinConjecture
5SomeSpecialFunctions
6TheProofofdeBranges'sTheorem
18SomeFundamentalConceptsfromAnalysis
1BergmanSpacesofAnalyticandHarmonicFunctions
2PartitionsofUnity
3ConvolutioninEuclideanSpace
4Distributions
5TheCauchyTransform
6AnApplication:RationalApproximation
7FourierSeriesandCesaroSums
19HarmonicFunctionsRedux
1HarmonicFunctionsontheDisk
2Fatou'sTheorem
3SemicontinuousFunctions
4SubharmonicFunctions
5TheLogarithmicPotential
6AnApplication:ApproximationbyHarmonicFunctions
7TheDirichletProblem
8HarmonicMajorants
9TheGreenFunction
10RegularPointsfortheDirichletProblem
11TheDirichletPrincipleandSobolevSpaces
20HardySpacesontheDisk
1DefinitionsandElementaryProperties
2TheNevanlinnaClass
3FactorizationofFunctionsintheNevanlinnaClass
4TheDiskAlgebra
5TheInvariantSubspacesofHp
6Szego'sTheorem
21PotentialTheoryinthePlane
1HarmonicMeasure
2TheSweepofaMeasure
3TheRobinConstant
4TheGreenPotential
5PolarSets
6MoreonRegularPoints
7LogarithmicCapacity:Part1
8SomeApplicationsandExamplesofLogarithmicCapacity
9RemovableSingularitiesforFunctionsintheBergmanSpace
10LogarithmicCapacity:Part2
11TheTransfiniteDiameterandLogarithmicCapacity
12TheRefinementofaSubharmonicFunction
13TheFineTopology
14Wiener'scriterionforRegularPoints
Contents
References
ListofSymbols
Index