A Hamiltonian Path Integral for a Degenerate Parabolic Pseudo-Differential Operator
Vol. 3 (1996), No. 1, Page 57--72.
Kumano-go, Naoto
A Hamiltonian Path Integral for a Degenerate Parabolic Pseudo-Differential Operator
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Abstract:
The symbol of the fundamental solution for a degenerate parabolic pseudo-differential operator of order m(>0) can be described in terms of a Hamiltonian path integral. This Hamiltonian path integral converges in the topology of the symbol class \Sn and in the weak topology of the symbol class \So.
Mathematics Subject Classification (1991): Primary 35S10; Secondary 47G05, 58D30
Mathematical Reviews Number: MR1414619
Received: 1994-12-20