馆藏图书傅立叶级数第二卷第二版
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九五品
仅1件
作者R.E.Edwards 著
出版社世界图书出版公司
出版时间2003-11
版次1
装帧平装
上书时间2024-08-12
商品详情
- 品相描述:九五品
图书标准信息
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作者
R.E.Edwards 著
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出版社
世界图书出版公司
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出版时间
2003-11
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版次
1
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ISBN
9787506265799
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定价
48.00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
369页
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正文语种
英语
- 【内容简介】
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Apartfromanumberofminorcorrectionsandchanges,asubstantialreformulationandup-datingofChapters14and15hastakenplace.Thisreformulationandup-datingisamajorandverywelcomecontributionfrommyfriendandcolleague,DrJ.W.Sanders,towhomIexpressmysincerethanks.HiseffortshaveproducedamuchbetterresultthanIcouldhaveachievedonmyown.WarmthanksarealsoduetoDrJoWard,Whocheckedsomeoftherevisedmaterial.
NewSections16.9and16.10havealsobeenadded.
Thebibliographyhasbeenexpandedandbroughtuptodate,thoughitisstillnotexhaustive.
Inspiteofthesechanges,thethirdparagraphinthePrefacetotherevisededitionofVolumeIisapplicablehere.Whathasbeenaeeomplishedhereisnotacompleteaccountofdevelopmentsoverthepast15years;suchanaccountwouldrequiremanyvolumes.Evenso,itmayassistsomereaderswhowishtoappraisesomeofthesedevelopments.MoreambitiousreadersshouldconsultMathematicalReviewsfromaroundVolume50onwards.
- 【目录】
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Chapter11SPANSOFTRANSLATES.CLOSEDIDEALS.CLOSEDSUBALGEBRAS.BANACHALGEBRAS
11.1ClosedInvariantSubspacesandClosedIdeals
11.2TheStructureofClosedIdealsandRelatedTopics
11.3ClosedSubalgebras
11.4BanachAlgebrasandTheirApplications
Exercises
Chapter12DISTRIBUTIONSANDMEASURES
12.1ConcerningCD
12.2DefinitionandExamplesofDistributionsandMeasures
12.3ConvergenceofDistributions
12.4DifferentiationofDistributions
12.5FourierCoefficientsandFourierSeriesofDistributions
12.6ConvolutionsofDistributions
12.7MoreaboutMandLp
12.8Hilbert'sDistributionandConjugateSeries
12.9TheTheoremofMarcelRiesz
12.10MeanConvergenceofFourierSeriesinLp(112.11PseudomeasuresandTheirApplications
12.12CapacitiesandBeurling'sProblem
12.13TheDualFomrofBochner'sTheorem
Exercises
Chapter13INTERPOLATIONTHEOREMS
13.1MeasureSpaces
13.20peratorsofType(p,q)
13.3TheThreeLinesTheorem
13.4TheRiesz-ThorinTheorem
13.5TheTheoremofHausdorff-Young
13.6AnInequalityofW.H.Young
13.70peratorsofWeakType
13.8TheMarcinkiewiczInterpolationTheorem
13.9ApplicationtoConjugateFunctions
13.10Concerninga*fands*f
13.11TheoremsofHardvandLittlewood,MarcinkiewiczandZygmund
Exercises
Chapter14CHANGINGSIGNSOFFOURIERCOEFFICIENTS
14.1HarmonicAnalysisontheCantorGroup
14.2RademacherSeriesConvergentinL2
14.3ApplicationstoFourierSeries
14.4CommentsontheHausdorff-YoungTheoremandItsDual
14.5ALookatSomeDualResultsandGeneralizations
Exercises
Chapter15LACUNARYFOURIERSERIES
15.1IntroductionofSidonSets
15.2ConstructionandExamplesofSidonSets
15.3FurtherInequalitiesInvolvingSidonSets
15.4CounterexamplesconcerningtheParsevalFormulaandHausdorff-YoungInequalities
15.5SetsofType(p,q)andofTypeA(p)
……
Chapter16MULTIPLIERS
Biliography
ResearchPublications
Corrigendato2nd(Revised)EditionofVolume1
Symbols
Index
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