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Timeperiodic solutions of the Boltzmann equation
Minimum 'energy' approximations of invariant measures for nonsingular transformations
1.  Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, Victoria, BC, Canada V8W 3P4 
2.  Department of Mathematics, University of Waikato, Private Bag 3105, Hamilton 
Explicit solutions for the finite moment problems in the case of the 'Energy' functional are derived using duality  the optimality condition is then a linear algebra problem. Strong duality is obtained even though the dual functional may not be coercive and the set of moment test functions is not assumed to be pseudoHaar. Finally, some numerical studies are presented for the case of moment test functions derived from a finite partition of the dynamical phase space and the results are compared with Ulam's method.
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