现代傅里叶分析 第2版
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九品
仅1件
作者[美]格拉法克斯(Grafakos L.) 著
出版社世界图书出版公司
出版时间2011-01
版次1
装帧平装
上书时间2023-12-27
商品详情
- 品相描述:九品
图书标准信息
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作者
[美]格拉法克斯(Grafakos L.) 著
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出版社
世界图书出版公司
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出版时间
2011-01
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版次
1
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ISBN
9787510040603
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定价
59.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
504页
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正文语种
英语
- 【内容简介】
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ThegreatresponsetothepublicationofthebookClassicalandModernFourierAnalysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublishthesecondeditionofthisbookintwovolumes:ClassicalFourierAnalysis,2ndEdition,andModernFourierAnalysis,2ndEdition.
ThesevolumesaremainlyaddressedtograduatestudentswhowishtostudyFourieranalysis.Thissecondvolumeisintendedtoserveasatextforasecond-semestercourseinthesubject.Itisdesignedtobeacontinuationofthefirstvolume.Chapters1-5inthefirstvolumecontainLebesguespaces,Lorentzspacesandinterpolation,maximalfunctions,Fouriertransformsanddistributions,anintroductiontoFourieranalysisonthen-torus,singularintegralsofconvolutiontype,andLittlewood-Paleytheory.
- 【目录】
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6SmoothnessandFunctionSpaces
6.1RieszandBesselPotentials,FractionalIntegrals
6.1.1RieszPotentials
6.1.2BesselPotentials
Exercises
6.2SobolevSpaces
6.2.1DefinitionandBasicPropertiesofGeneralSobolevSpaces
6.2.2Littlewood-PaleyCharacterizationofInhomogeneousSobolevSpaces
6.2.3Littlewood-PaleyCharacterizationofHomogeneousSobolevSpaces
Exercises
6.3LipschitzSpaces
6.3.1IntroductiontoLipschitzSpaces
6.3.2Littlewood-PaleyCharacterizationofHomogeneousLipschitzSpaces
6.3.3Littlewood-PaleyCharacterizationofInhomogeneousLipschitzSpaces
Exercises
6.4HardySpaces
6.4.1DefinitionofHardySpaces
6.4.2QuasinormEquivalenceofSeveralMaximalFunctions
6.4.3ConsequencesoftheCharacterizationsofHardySpaces
6.4.4Vector-ValuedHpandItsCharacterizations
6.4.5SingularIntegralsonHardySpaces
6.4.6TheLittlewood-PaleyCharacterizationofHardySpaces
Exercises
6.5Besov-LipschitzandTriebel-LizorkinSpaces
6.5.1IntroductionofFunctionSpaces
6.5.2EquivalenceofDefinitions
Exercises
……
7BMOandCarlesonMeasures
8SingularIntegralsofNonconvolutionType
9WeightedInequalities
10BoundednessandConvergenceofFourierIntegrals
11Time-FrequencyAnalysisandtheCarleson-HuntTheorem
Glossary
References
Index
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