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1、MacquarieUniversityDepartmentofMathematicsFFoouurriieerrTThheeoorryyBB..MM..NN..CCllaarrkkeeTableofContents1.Introduction.................................................................................................................................12.Lineardifferentialoperators.........
2、.........................................................................................3....3.Separationofvariables........................................................................................................5.......4.FourierSeries.............................................
3、.................................................................................95.Bessel'sinequality.....................................................................................................................146.ConvergenceresultsforFourierseries................................
4、....................................................167.DifferentiationandIntegrationofFourierSeries...................................................................208.Half-rangeFourierseries...............................................................................................
5、.......23...9.GeneralIntervals.....................................................................................................................2510.ApplicationtoLaplace'sequation...........................................................................................27.11.Sturm-Liou
6、villeproblemsandorthogonalfunctions..............................................................3312.BesselFunctions.......................................................................................................................3713.FourierTransforms...............................
7、..............................................................................41.....14.InverseFourierTransforms................................................................................................47.....15.ApplicationstoDifferentialEquations.............
