Fubini's theorem and non-linear change of variables over a two-dimensional local field

preprint2010arXivOpen access

Abstract

We consider non-linear changes of variables and Fubini's theorem for certain integrals over a two-dimensional local field. An interesting example is presented in which imperfectness of a finite characteristic local field causes Fubini's theorem to unexpectedly fail. The relationship to ramification theory is discussed.

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