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Structure theorems for associated homogeneous distributions based on the line

dc.contributor.authorFranssens, G.R.
dc.date2009
dc.date.accessioned2016-04-05T13:47:15Z
dc.date.available2016-04-05T13:47:15Z
dc.identifier.urihttps://orfeo.belnet.be/handle/internal/3303
dc.descriptionAssociated homogeneous distributions (AHDs) with support in the line R are the distributional generalizations of one-dimensional power-log functions. In this paper, we derive a number of practical structure theorems for AHDs based on R and being complex analytic with respect to their degree of homogeneity in some region of the complex plane. Each theorem gives a representation that is designed to have a distinct advantage for calculating either convolution products, multiplication products, generalized derivatives and primitives, Fourier transforms or Hilbert transforms of AHDs. Copyright © 2008 John Wiley & Sons, Ltd.
dc.languageeng
dc.titleStructure theorems for associated homogeneous distributions based on the line
dc.typeArticle
dc.subject.frascatiPhysical sciences
dc.audienceScientific
dc.subject.freeAssociated homogeneous distribution
dc.subject.freeFourier transformation
dc.subject.freeMultiplication
dc.subject.freePower-log function
dc.subject.freeStructure theorem
dc.subject.freeConvolution
dc.subject.freeFourier analysis
dc.subject.freeFourier transforms
dc.source.titleMathematical Methods in the Applied Sciences
dc.source.volume32
dc.source.issue8
dc.source.page986-1010
Orfeo.peerreviewedYes
dc.identifier.doi10.1002/mma.1078
dc.identifier.scopus2-s2.0-67649304660


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