内容简介
Thisvolumeisaselectionofwrittennotescorrespondingtocourses?taughtattheCIMPASchool:"NewTrendsinAppliedHarmonicAnalysis:SparseRepresentations,CompressedSensingandMultifractalAnalysis".Newinteractionsbetweenharmonicanalysisandsignalandimageprocessinghaveseenstrikingdevelopmentinthelast10years,andseveraltechnologicaldeadlockshavebeensolvedthroughtheresolutionofdeeptheoreticalproblemsinharmonicanalysis.NewTrendsinAppliedHarmonicAnalysisfocusesontwoparticularlyactiveareasthat?arerepresentativeofsuchadvances:multifractalanalysis,andsparserepresentationandcompressedsensing.Thecontributionsarewrittenbyleadersintheseareas,andcoverboththeoreticalaspectsandapplications.ThisworkshouldproveusefulnotonlytoPhDstudentsandpostdocsinmathematics?andsignalandimageprocessing,butalsotoresearchersworkinginrelatedtopics.