傅立叶分析和应用Fourier analysis and applications : filtering, numerical computation, wavelets

ThisappliedmathematictextfocusesonFourieranalysis,filtersandsignalanalysis.ScientistsandengineersareconfrontedbythenecessityofusingclassicalmathematicssuchasFouriertransforms,convolution,distributionandmorerecentlywaveletanalysisinallareasofmodelling.Theobjectofthisbookistwo-fold-ontheonehandtoconveytothemathematicalreaderarigorouspresentationandexplorationoftheimportantapplicationsofanalysisleadingtonumericalcalculationsandontheotherhandtoconveytothephysicsreaderabodyoftheoryinwhichthewell-knownformulaefindtheirjustification.ThereaderwillfindthebasicstudyoffundamentalnotionssuchasLebesgueintegrationandtheoryofdistributionandthesepermittheestablishmentofthefollowingareas:FourieranalysisandconvolutionFiltersandsignalanalysistime-frequencyanalysis(gabortransformsandwavelets)Thebookisaimedatengineersandscientistsandcontainsalargenumberofexercisesaswellasselectedworkedoutsolutions.Thewords`TranslatedbyRobertDRyan'shouldbeincludedinALLpromotionmaterialregardingthebook.