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    Generalized derivatives of spherical associated homogeneous distributions on Rn

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    Authors
    Franssens, G.R.
    Discipline
    Mathematics
    Audience
    Scientific
    Date
    2009
    Metadata
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    Description
    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
    uri: https://orfeo.belnet.be/handle/internal/3295
    doi: http://dx.doi.org/10.1016/j.jmaa.2009.02.031
    scopus: 2-s2.0-62549091867
    Type
    Article
    Peer-Review
    Yes
    Language
    eng
    Links
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