资源描述：
《fuhr h. abstract harmonic analysis of continuous wavelet transforms (lnm1863, springer,2005)(isbn 3540242597)(200s)_mnw_》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、LectureNotesinMathematics1863Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,ParisHartmutFuhr¨AbstractHarmonicAnalysisofContinuousWaveletTransforms123AuthorHartmutFuhr¨InstituteofBiomathematicsandBiometryGSF-NationalResearchCenterforEnvironmentandHealthIngolstadterLandstr
2、asse¨185764NeuherbergGermanye-mail:fuehr@gsf.deLibraryofCongressControlNumber:2004117184MathematicsSubjectClassification(2000):43A30;42C40;43A80ISSN0075-8434ISBN3-540-24259-7SpringerBerlinHeidelbergNewYorkDOI:10.1007/b104912Thisworkissubjecttocopyright.Allrightsarereserved,wheth
3、erthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGerman
4、CopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediahttp://www.springeronline.comcSpringer-VerlagBerlinHeidelberg2005Print
5、edinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbytheautho
6、rs41/3142/du-543210-Printedonacid-freepaperPrefaceThisvolumediscussesaconstructionsituatedattheintersectionoftwodiffer-entmathematicalfields:Abstractharmonicanalysis,understoodasthetheoryofgrouprepresentationsandtheirdecompositionintoirreduciblesontheonehand,andwavelet(andrelated)
7、transformsontheother.Inasensethevolumereexaminesoneoftherootsofwaveletanalysis:Thepaper[60]byGrossmann,MorletandPaulmaybeconsideredasoneoftheinitialsourcesofwavelettheory,yetitdealswithaunitaryrepresentationoftheaffinegroup,citingresultsondiscreteseriesrepresentationsofnonunimodul
8、argroupsduetoDu-floandMoore.Itwasalsoobservedin[
