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The Binet-Pexider functional equation for rectangular matrices

Authors:

K J Heuvers D S Moak

Institution:

1. Michigan Technological University, 49931, Houghton, MI, USA

Abstract:

IfK is a field of characteristic 0 then the following is shown. Iff, g, h: M _n(K) rarr

K are non-constant solutions of the Binet—Pexider functional equation

$f(AB) = \frac{1}{{n!}}\sum\limits_{\left\| s \right\| = n} {\left( {\begin{array}{*{20}c} n \\ {s_1 \cdots s_{n{\mathbf{ }} + {\mathbf{ }}r} } \\ \end{array} } \right)g(A^s )h(B_s )}$

Keywords:	AMS (1980) subject classification" target="_blank">AMS (1980) subject classification Primary 15A15 39B60
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