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1 lt Series ,,,-an Research Notes in Mathematics 2I4 I I l Klaus D Schmidt Jordan decompositions of generalized vector measures l>r>llonomqn I lü!lis¿e*t¿ari Pitman Research Notes in Mathematics Series MainEditors H. Brezis,UniversitédeParis R. G. Douglas,StateUniversityofNewYorkatStonyBrook A. Jeffrey,UniversityofNewcastle-upon-Tyne (FoundingEditor) EditorialBoard R. Aris, UniversityofMinnesota B. Lawson, State UniversityofNewYork at A. Bensoussan, INRIA,France StonyBrook S. Bloch,UniversityofChicago W. F. Lucas,ClaremontGraduateSchool B. Bollobas,UniversityofCambridge R. E. Meyer,UniversityofWisconsin-Madison W. Biirger, UniversitatKarlsruhe L.E. Payne,CornellUniversity S. Donaldson,UniversityofOxford G. F. Roach.UniversityofStrathclyde J. DouglasJr, UniversityofChicago J. H. Seinfeld,CaliforniaInstitute of R. J. Elliott, UniversityofAlberta Technology G. Fichera, UniversitadiRoma E. Simon, CaliforniaInstituteofTechnology R. P. Gilbert,UniversityofDelaware I. N. Stewart,UniversityofWarwick R. Glowinski,UniversitédeParis S.J.Taylor, UniversityofVirginia K. P. I-Iadeler, UniversitatTfibingen K. Kirchgassner,UniversitétStuttgart Submission ofproposalsfor consideration Suggestions for publication, in the form ofoutlines and representative samples, are invited by the Editorial Board for assessment. Intending authors should approach one ofthe main editors or another memberofthe Editorial Board, citing the relevant AMS subject classifications. Alternatively, outlines may be sent directly to the publisher’s offices. Refereeing is by members ofthe board and other mathematical authorities in the topic concerned, throughout the world. Preparation ofaccepted manuscripts On acceptance ofa proposal, the publisher will supply full instructions for the preparation of manuscripts in a form suitable for direct photo-lithographic reproduction. Speciallyprinted grid sheets are provided and a contribution is offered by the publisher towards the cost oftyping. 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Longman Scientific & Technical Longman House Burnt Mill Harlow, Essex, UK (tel (0279) 26721) Titlesinthisseries Improperlyposedboundaryvalueproblems 27 Nonlinearanalysisandmechanics: ACarassoandAPStone Heriot-WattSymposiumVolumeII Liealgebrasgeneratedbyfinitedimensional RJKnops ideals 28 Constructivefunctionalanalysis INStewart DSBridges Bifurcationproblemsin nonlinear 29 Elongationalflows: Aspectsofthebehaviour elasticity ofmodelelasticoviscousfluids RWDickey CJSPetrie Partialdifferentialequationsinthecomplex 30 Nonlinearanalysisand mechanics: domain Heriot-WattSymposiumVolumeIII DLColton RJKnops Quasilinearhyperbolicsystemsandwaves 31 Fractionalcalculus andintegraltransformsof AJeffrey generalizedfunctions Solutionofboundaryvalueproblemsbythe ACMcBride methodofintegraloperators 32 Complexmanifoldtechniquesintheoretical DLColton physics Taylorexpansionsandcatastrophes DELernerandPDSommers TPostonandINStewart 33 Hilbert‘sthird problem: scissorscongruence Functiontheoreticmethodsin differential C-HSah equations 34 Graphtheoryandcombinatorics RPGilbertandRJWeinacht RJWilson Differentialtopologywith aviewto 35 TheTricomi equationwithapplicationstothe applications theoryofplanetransonicflow DRJChillingworth ARManwell 10 Characteristicclassesoffoliations 36 Abstractdifferential equations HVPittie SDZaidman 11 Stochasticintegrationandgeneralized 37 Advancesintwistortheory martingales LPHughstonandRSWard AUKussmaul 38 Operatortheoryandfunctionalanalysis 12 Zeta-functions: Anintroduction toalgebraic IErdelyi geometry 39 Nonlinearanalysisandmechanics: ADThomas Heriot-WattSymposiumVolumeIV 13 Explicitaprioriinequalitieswithapplicationsto RJKnops boundaryvalueproblems 40 Singularsystemsofdifferentialequations VGSigillito SLCampbell 14 Nonlineardiffusion 41 N-dimensionalcrystallography WEFitzgibbonIIIandHFWalker RLESchwarzenberger 15 Unsolvedproblemsconcerninglatticepoints 42 Nonlinearpartialdifferentialequationsin JHammer physicalproblems 16 Edge-colouringsofgraphs DGraffi SFioriniandRJWilson 43 Shiftsandperiodicityforrightinvertible 17 Nonlinearanalysisandmechanics: operators Heriot-WattSymposiumVolume I DPrzeworska-Rolewicz RJKnops 44 Ringswithchainconditions 18 Actionsoffineabeliangroups AWChattersandCRHajarnavis CKosniowski 45 Moduli, deformationsandclassifications 19 Closedgraph theoremsandwebbedspaces ofcompactcomplexmanifolds MDeWilde DSundararaman 20 Singularperturbation techniquesappliedto 46 Nonlinearproblemsofanalysisin integro-differentialequations geometryandmechanics HGrabmiiller MAtteia, DBancelandIGumowski 21 Retardedfunctionaldifferentialequations: 47 Algorithmicmethodsinoptimalcontrol Aglobalpointofview WAGruverandESachs SEAMohammed 48 AbstractCauchyproblemsand 22 MultiparameterspectraltheoryinHilbertspace functionaldifferentialequations BDSleeman FKappelandWSchappacher 24 Mathematicalmodellingtechniques 49 Sequencespaces RAris WHRuckle 25 Singularpointsofsmoothmappings 50 Recentcontributionsto nonlinear CGGibson partialdifferentialequations 26 Nonlinearevolutionequationssolvablebythe HBerestyckiandHBrezis spectraltransform 51 Subnormaloperators FCalogero JBConway 52 Wavepropagationinviscoelasticmedia 76 Clifford analysis FMainardi FBrackx,RDelangheandFSommen 53 Nonlinearpartial differentialequationsand 77 Nonlinearequivalence, reductionofPDEs theirapplications: CollegedeFrance toODEsandfastconvergentnumerical Seminar. VolumeI methods HBrezisandJLLions EERosinger 54 GeometryofCoxetergroups 78 Freeboundaryproblems, theoryand HHiller applications. VolumeI 55 CuspsofGaussmappings AFasanoandMPrimicerio TBanchofl‘,TGaffneyandCMcCrory 79 Freeboundaryproblems, theoryand 56 Anapproach toalgebraicK-theory applications. VolumeII AJBerrick AFasanoandMPrimicerio 57 Convexanalysisandoptimization 80 Symplecticgeometry J-PAubinandRBVintner ACrumeyrolleandJGrifone 58 Convexanalysiswithapplicationsin 81 An algorithmicanalysisofacommunication thedifferentiationofconvexfunctions modelwithretransmissionofflawedmessages JRGiles DMLucantoni 59 Weakandvariationalmethodsformoving 82 Geometricgamesandtheirapplications boundaryproblems WHRuckle CMElliottandJROckendon 83 Additivegroupsofrings 60 Nonlinearpartialdifferentialequationsand SFeigelstock theirapplications: CollegedeFrance Nonlinearpartialdifferentialequationsand Seminar. VolumeII theirapplications: CollegedeFrance HBrezisandJLLions ' Seminar. VolumeIV 61 SingularsystemsofdifferentialequationsII HBrezisandJLLions SLCampbell 85 Multiplicativefunctionalsontopologicalalgebras 62 Ratesofconvergenceinthecentrallimit THusain theorem 86 Hamilton-JacobiequationsinHilbertspaces PeterHall VBarbuandGDaPrato 63 Solutionofdifferentialequations 87 Harmonicmapswithsymmetry,harmonic bymeansofone-parametergroups morphismsanddeformationsofmetrics JMHill PBaird HankeloperatorsonHilbertspace 88 Similaritysolutionsofnonlinearpartial SCPower differentialequations 65 Schrodinger-typeoperatorswithcontinuous LDresner spectra 89 Contributionstononlinearpartialdifferential MSPEasthamandHKalf equafions 66 Recentapplicationsofgeneralizedinverses CBardos,ADamlamian,JIDiazand SLCampbell J Hernandez 67 RieszandFredholmtheoryinBanachalgebra BanachandHilbertspacesofvector-valued BABarnes,GJMurphy,MRFSmythand functions TTWest JBurbeaandPMasani 68 Evolutionequationsandtheirapplications 91 Controlandobservationofneutralsystems FKappeland WSchappacher DSalamon 69 GeneralizedsolutionsofHamilton-Jacobi 92 Banachbundles,Banach modulesand equations automorphismsofC*-algebras PLLions MJDupréandRMGillette 70 Nonlinearpartialdifferentialequationsand 93 Nonlinearpartialdifferentialequationsand theirapplications: CollegedeFrance theirapplications: CollegedeFrance Seminar. Volume III Seminar. VolumeV HBrezisandJLLions HBrezisandJLLions 71 Spectraltheoryandwaveoperatorsforthe 94 Computeralgebrainapplied mathematics: Schrodingerequation anintroductiontoMACSYMA AMBerthier RHRand 72 ApproximationofHilbertspaceoperatorsI 95 Advancesinnonlinearwaves. VolumeI DAHerrero LDebnath 73 VectorvaluedNevanlinnaTheory 96 FC-groups HJ WZiegler MJTomkinson 74 Instability,nonexistenceandweighted 97 Topicsinrelaxationandellipsoidalmethods energymethodsinfluiddynamics MAkgiil andrelatedtheories 98 Analogueofthegroupalgebrafor BStraughan topologicalsemigroups 75 Localbifurcationandsymmetry HDzinotyiweyi AVanderbauwhede 99 Stochasticfunctionaldifferentialequations SEAMohammed 100 Optimalcontrolofvariationalinequalities 125 EnniodeGiorgiColloquium VBarbu PKrée 101 Partialdifferentialequationsand 126 Almost-periodicfunctionsinabstractspaces dynamicalsystems SZaidman WEFitzgibbonIII 127 Nonlinearvariationalproblems 102 ApproximationofHilbertspaceoperators. AMarino,LModica,SSpagnoloand VolumeII M Degiovanni CApostol,LAFialkow,DAHerreroand 128 Second—ordersystemsofpartialdifferential D Voiculescu equationsin theplane 103 Nondiscreteinductionanditerativeprocesses LKHua,WLinandC-QWu VPtakandF-APotra 129 Asymptoticsofhigh—orderordinarydifferential 104 Analyticfunctions—growth aspects equations 0PJunejaandGPKapoor RBParisandADWood 105 TheoryofTikhonovregularizationfor 130 Stochasticdifferential equations Fredholmequationsofthefirstkind RWu CWGroetsch 131 Differentialgeometry 106 Nonlinearpartialdifferentialequations LACordero andfreeboundaries. VolumeI 132 Nonlineardifferentialequations JIDiaz JKHaleandPMartinez-Amores 107 Tightandtautimmersionsofmanifolds 133 Approximation theoryandapplications TECecilandPJRyan SPSingh 108 Alayeringmethodforviscous, incompressible 134 Near-ringsandtheirlinkswithgroups LpflowsoccupyingR’I JDPMeldrum ADouglisandEBFabes 135 Estimatingeigenvalueswithaposteriori/aprion" 109 Nonlinearpartialdifferentialequationsand inequalities theirapplications: CollegedeFrance JRKuttlerandVGSigillito Seminar. VolumeVI 136 Regularsemigroupsasextensions HBrezisandJLLions FJPastijnandMPetrich 110 Finitegeneralizedquadrangles 137 RepresentationsofrankoneLiegroups SEPayneandJAThas DHCollingwood 111 Advancesinnonlinearwaves. VolumeII 138 Fractionalcalculus LDebnath GFRoachandACMcBride 112 Topicsinseveralcomplexvariables 139 Hamilton’sprinciplein ERamirezdeArellanoandDSundararaman continuummechanics 113 Differentialequations.flowinvariance ABedford andapplications 140 Numericalanalysis NHPavel DFGriffithsandGAWatson 114 Geometricalcombinatorics 141 Semigroups,theoryandapplications. Volume I FCHolroydandRJWilson HBrezis,MGCrandallandFKappel 115 Generatorsofstronglycontinuoussemigroups 142 DistributiontheoremsofL-functions JAvanCasteren DJoyner 116 GrowthofalgebrasandGelfand—Kirillov 143 Recentdevelopmentsinstructuredcontinua dimension DDeKeeandPKaloni GRKrauseandTHLenagan 144 Functionalanalysisandtwo-pointdifferential 117 Theoryofbasesandcones operators PKKamthanandMGupta JLocker 118 Lineargroupsandpermutations 145 Numericalmethodsforpartialdifferential ARCaminaandEAWhelan equations 119 GeneralWiener—Hopffactorization methods SIHariharanandTHMoulden F-OSpeck 146 Completelyboundedmapsanddilations 120 Freeboundaryproblems: applicationsand VIPaulsen theory, VolumeIII 147 HarmonicanalysisontheHeisenbergnilpotent ABossavit,ADamlamianandMFremond Liegroup 121 Freeboundaryproblems: applicationsand WSchempp theory,VolumeIV 148 Contributionstomoderncalculusofvariations ABossavit,ADamlamianandMFremond LCesari 122 Nonlinearpartialdifferentialequationsand 149 Nonlinearparabolicequations: qualitative theirapplications: CollégedeFrance propertiesofsolutions Seminar. VolumeVII LBoccardoandATesei HBrezisandJLLions 150 Fromlocaltimestoglobalgeometry,controland 123 Geometricmethodsinoperatoralgebras physics HArakiandEGEffros KDElworthy 124 Infinitedimensionalanalysis—stochastic processes SAlbeverio 151 Astochasticmaximumprincipleforoptimal 177 Cordes’ two-parameterspectralrepresentation controlofdiffusions theory UGHaussmann DFMcGheeandRHPicard 152 Semigroups, theoryandapplications. VolumeII 178 EquivariantK-theoryfor HBrezis,MGCrandallandFKappel properactions 153 Ageneraltheoryofintegrationinfunction NCPhillips spaces 179 Ellipticoperators,topology PMuldowney and asymptoticmethods 154 OaklandConferenceonpartialdifferential JRoe equationsandappliedmathematics 180 Nonlinearevolutionequations LRBraggandJWDettman JKEngelbrecht,VEFridmanand 155 Contributionstononlinearpartialdifferential ENPelinovski equations. VolumeII 181 Nonlinearpartialdifferentialequationsand their JIDiazandPLLions applications. CollegedeFranceSeminar. Volume 156 Semigroupsoflinearoperators: anintroduction IX ' ACMcBride HBrezisandJLLions 157 Ordinaryandpartialdifferentialequations 182 Criticalpointsatinfinityinsomevariational BDSleemanandRJJarvis problems 158 Hyperbolicequations ABahri FColombiniandMKVMurthy 183 Recentdevelopmentsinhyperbolicequations 159 Lineartopologiesonaring: anoverview LCattabriga,FColombini,MKVMurthyandS JSGolan Spagnolo .184 160 Dynamicalsystemsandbifurcation theory Optimizationandidentificationofsystems MICamacho, MJPacificoandFTakens governed byevolutionequationsonBanachspace 161 Branchedcoveringsandalgebraicfunctions NUAhmed MNamba 185 Freeboundaryproblems: theoryandapplications. 162 Perturbationboundsformatrixeigenvalues Volume I RBhatia KHHoffmannandJSprekels 163 Defectminimizationinoperatorequations: 186 Freeboundaryproblems: theoryandapplications. theoryandapplications Volume II RReemtsen KHHoft‘rnannandJSprekels 164 MultidimensionalBrownian excursionsand 187 Anintroduction tointersectionhomologytheory potentialtheory FKirwan KBurdzy 188 Derivatives, nucleianddimensionsontheframe 165 Viscositysolutionsandoptimalcontrol oftorsiontheories RJElliott JSGolanandHSimmons 166 Nonlinearpartialdifferentialequationsand 189 Theoryofreproducingkernelsanditsapplications theirapplications. CollegedeFranceSeminar: SSaitoh VolumeVIII 190 Volterra integrodifferentialequationsin Banach HBrezisandJLLions spacesandapplications 167 Theoryandapplicationsofinverseproblems GDaPratoandMIannelli HHaario 191 Nestalgebras 168 Energystabilityandconvection KRDavidson GPGaldiandBStraughan 192 Surveysofsomerecentresultsinoperatortheory. 169 Additivegroupsofrings. VolumeII VolumeII SFeigelstock JBConwayandBBMorrel 170 Numericalanalysis 1987 193 Nonlinearvariationalproblems. VolumeII DFGriffithsandGAWatson AMarinaandMKMurthy 171 Surveysofsomerecentresultsin 194 Stochasticprocesseswithmultidimensional operatortheory. VolumeI parameter JBConwayandBBMorrel MEDozzi 172 AmenableBanachalgebras 195 Prestressedbodies J-PPier DIesan 173 Pseudo-orbitsofcontactforms 196 Hilbertspaceapproach tosomeclassical ABahri transforms 174 Poissonalgebrasand Poisson manifolds RHPicard KHBhaskaraandKViswanath 197 Stochasticcalculusinapplication 175 Maximumprinciplesand JRNorris eigenvalueproblemsin 198 Radicaltheory partialdifferentialequations BJGardner PWSchaefer 199 TheC*—algebrasofaclassofsolvableLie 176 Mathematicalanalysisof groups nonlinear,dynamicprocesses XWang KUGrusa 200 Stochasticanalysis,pathintegration and dynamics DElworthy 201 Riemanniangeometryandholonomygroups SSalamon 202 Strongasymptoticsforextremalerrorsand polynomialsassociatedwithErdostypeweights DSLubinsky 203 Optimal control ofdiffusionprocesses VSBorkar 204 Rings,modulesandradicals BJGardner 205 NumericalstudiesfornonlinearSchrodinger equations BMHerbs!andJACWeideman 206 Distributionsandanalyticfunctions RDCarmichaelandDMitrovié 207 Semicontinuity, relaxationand integral representationinthecalculusofvariations GButtazzo 208 Recentadvancesinnonlinearellipticand parabolicproblems PBénilan,MChipot,LEvansandMPierre 209 Modelcompletions,ringrepresentationsandthe topologyofthePiercesheaf ACarson 210 Retardeddynamicalsystems GStepan 211 Functionspaces,differentialoperatorsand nonlinearanalysis LPaivarinta 212 Analyticfunctiontheoryofonecomplex variable CCYang,YKomatuandKNiino 213 Elementsofstabilityofvisco-elasticfluids JDunwoody 214 Jordandecompositionsofgeneralisedvector measures KDSchmidt 215 Amathematicalanalysisofbendingofplates withtransversesheardeformation CConstanda 216 Ordinaryandpartialdifferentialequations VolII BDSleemanandRJJarvis 217 Hilbertmodulesoverfunction algebras RGDouglasandVIPaulsen 218 Graphcolourings RWilsonandRNelson 219 Hardy-typeinequalities AKufnerandBOpic 220 Nonlinearpartialdifferentialequationsand theirapplications. CollegedeFranceSeminar VolumeX HBrezisandJLLions Jordan decompositions of generalized vector measures