Decomposition of multivariate functions

Title: Decomposition of multivariate functions
Creator: Borwein, J. M.; Lewis, A. S.
Relation: Canadian Journal of Mathematics Vol. 44, Issue 3, p. 463-482
Publisher Link: http://dx.doi.org/10.4153/CJM-1992-030-9
Publisher: University of Toronto Press
Resource Type: journal article
Date: 1992
Description: Given a bivariate function defined on some subset of the Cartesian product of two sets, it is natural to ask when that function can be decomposed as the sum of two univariate functions. In particular, is a pointwise limit of such functions itself decomposable? At first glance this might seem obviously true but, as we show, the possibilities are quite subtle. We consider the question of existence and uniqueness of such decompositions for this case and for many generalizations to multivariate functions and to cases where the sets and functions have topological or measure theoretic structure.
Subject: multivariate functions; decompositions; bivariate functions; univariate functions
Identifier: http://hdl.handle.net/1959.13/1042537
Identifier: uon:14071
Identifier: ISSN:0008-414X
Language: eng
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