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