2 papers
math-ph2001
Functional Equations and Poincare Invariant Mechanical Systems
J. G. B. Byatt-Smith, H. W. Braden
We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincare algebra: \sum\limits_{i=1}^{n+1}\dfrac{\partial}{\parti…
math.CA1998
On a Functional Differential Equation of Determinantal Type
H. W. Braden, J. G. B. Byatt-Smith
We solve the functional equations $$ \begin{vmatrix} 1 & 1 & 1 f(x) & f(y) & f(z) f\sp{\prime}(x)& f\sp{\prime}(y)& f\sp{\prime}(z) \end{vmatrix} =0,\quad\quad \begin{vmatrix} 1 &…