Structure theorems for associated homogeneous distributions based on the line
dc.contributor.author | Franssens, G.R. | |
dc.date | 2009 | |
dc.date.accessioned | 2016-04-05T13:47:15Z | |
dc.date.available | 2016-04-05T13:47:15Z | |
dc.identifier.uri | https://orfeo.belnet.be/handle/internal/3303 | |
dc.description | Associated 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.language | eng | |
dc.title | Structure theorems for associated homogeneous distributions based on the line | |
dc.type | Article | |
dc.subject.frascati | Physical sciences | |
dc.audience | Scientific | |
dc.subject.free | Associated homogeneous distribution | |
dc.subject.free | Fourier transformation | |
dc.subject.free | Multiplication | |
dc.subject.free | Power-log function | |
dc.subject.free | Structure theorem | |
dc.subject.free | Convolution | |
dc.subject.free | Fourier analysis | |
dc.subject.free | Fourier transforms | |
dc.source.title | Mathematical Methods in the Applied Sciences | |
dc.source.volume | 32 | |
dc.source.issue | 8 | |
dc.source.page | 986-1010 | |
Orfeo.peerreviewed | Yes | |
dc.identifier.doi | 10.1002/mma.1078 | |
dc.identifier.scopus | 2-s2.0-67649304660 |