【傅里叶分析和小波分析导论英文版】[美]平斯基PinskyMA机械工业.pdf



PREFACE Thisbookprovidesaself-containedtreatment of classicalFourieranalysisattheupper undergraduateorbegininggraduatelevel.Iassume thatthereaderisfamiliarwiththe rudimentsofLebesguemeasureandintegralontherealline.Myviewpointismostly classical andconcrete.
1 1 1 2 3 6 7 9CONTENTS -ParsevalsTheorem TheVibratingString HeatFlowinSolids AbsolutelyConvergentTrigonometricSeries *ExamplesofFactorial andBesselFunctions *NonabsolutelyConvergentTrigonometricSeries FourierCoefficientsandTheirBasicProperti 