傅立叶级数

图书标准信息

• 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
• ISBN 9787506265799
• 定价 48.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 369页
• 正文语种 英语

【内容简介】

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】

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