31. This method can be extended to all local square integrable martingales by localization. 32. The Painlev?equations are all reductions of integrable partial differential equations; see. 33. In the simplest case " V " is smooth and integrable . 34. The Camassa Holm equation is integrable provided that the momentum 35. More precisely, Arnold considered the example of nearly integrable Hamiltonian system with Hamiltonian 36. Are given by convolution with integrable functions and have uniformly bounded operator norms. 37. Unlike the KdV system, it is not integrable . 38. The diffeomorphism group are flows with vector fields absolutely integrable in Sobolev norm: 39. integrable " have precise meanings in mathematics.40. He later constructed an example of an integrable function whose Fourier series diverges everywhere.
