banach algebras of integral operators off diagonal decay and applications in wireless communications 0406198外语英文电子书

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1、BanachAlgebrasofIntegralOperators,Off-DiagonalDecay,andApplicationsinWirelessCommunicationsBySCOTTBEAVERB.S.EngineeringPhysics(LehighUniversity)1990B.S.Mathematics(AuburnUniversityatMontgomery)1994M.S.Mathematics(UniversityofArizona)1997DISSERTATIONSubmittedinpartial

2、satisfactionoftherequirementsforthedegreeofDOCTOROFPHILOSOPHYinMATHEMATICSintheOFFICEOFGRADUATESTUDIESoftheUNIVERSITYOFCALIFORNIAarXiv:math.OA/0406198v19Jun2004DAVISApproved:CommitteeinCharge2004iContents1Introduction11.1Banachalgebraresults.........................

3、.11.1.1Applications:...........................21.1.2Previousresultsinthefield...................21.2ImprovingthestandardOFDMcommunicationsscheme.......42PreliminariesandNotation62.1Basics...................................62.2BanachandHilbertspaces..................

4、......72.3Algebras..................................82.4Fourierconsiderations..........................92.5Tempereddistributions..........................102.6Integraloperators.............................112.7Continuousanalogofmatrixmultiplication...............112

5、.8⋆-invertibility...............................122.9Spacesofdistributions..........................153ClassesofIntegralOperatorsClassifiedbyOff-DiagonalDecayoftheKernel163.1Weightfunctions.............................163.2ThedistributionclassesL1andL.................

6、..17vv3.2.1TheunitalBanachalgebraL1..................18v3.2.2TheunitalalgebraLv......................223.3Symmetry,anddecayofinverses.....................263.3.1Symmetryofalgebras.......................263.3.2Cruciallemmas..........................273.3.3L1isinverse

7、-closedinB(L2(Rd))................28v3.3.4Lisinverse-closedinB(L2(Rd)),fors>d...........30v4PseudodifferentialOperatorsandLinearTime-VaryingSystems334.1Pseudodifferentialoperators.......................33ii4.2Lineartime-varyingsystems.......................355OFDM375.

8、1Introduction................................375.2OFDMbasics...............................385.3Dispersioninthewirelesschannel............