Hamiltonian Flows and Evolution Semigroups |
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algebras analysis analytic associated bm(Q Brezis and J L C+(t canonical transformations change of variables chapter Collège de France compute consider coordinates defined denote Evolution Semigroups exp q exp t G Feinsilver's Feynman-Kac formula Fourier transforms France Seminar function q functions f(q,p ƒ exp ƒ f(q given group of canonical H Brezis Hamilton-Jacobi function Hamiltonian flows Hamiltonian mechanics Hamiltonian system Hilbert space identity infinitesimal invariance group inverse J L Lions K(ik Lemma Let F(q,P linear mapping Martingale No(q Nonlinear partial differential obtain operational calculus P₁ f(q partial differential equations phase space Pm(q Poisson bracket polynomial sequences problems Proof Proposition quadratic Hamiltonians quantum mechanics reader to verify representations of canonical respect result satisfies solution solve test functions transformation q,p trivially integrable systems Ts(t Tw(s U(ik V(ik vector Volume ӘР ди др ᎧᎳ