Generalized derivatives of spherical associated homogeneous distributions on Rn
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Authors
Franssens, G.R.
Discipline
Mathematics
Audience
Scientific
Date
2009Metadata
Show full item recordDescription
Full proofs are given of general expressions for the generalized partial derivatives of spherically symmetric associated homogeneous distributions (SAHDs) based on Rn. This work complements earlier work began by Estrada and Kanwal. Special attention is given to the cases when the derivative of the distribution is a singular distribution, being either an analytic continuation or a distributional extension (or regularization). The presented results are useful for the distributional treatment of potential (i.e., time-invariant) problems in n dimensions. © 2009 Elsevier Inc. All rights reserved.
Citation
Franssens, G.R. (2009). Generalized derivatives of spherical associated homogeneous distributions on Rn. , Journal of Mathematical Analysis and Applications, Vol. 355, Issue 2, 750-766, DOI: 10.1016/j.jmaa.2009.02.031.Identifiers
scopus: 2-s2.0-62549091867
Type
Article
Peer-Review
Yes
Language
eng