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

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.

(First replacement) An error was found in the proof of lemma 3.13 and the lemma as stated was false; the paper was significantly rewritten. (Second replacement) Comments on ramification theory have been added; a more comprehensive version of this paper is now available as chapter 4 of the author's thesis (see reference in paper)

References in corpus (2)

• Integration on valuation fields over local fields
• On ramification filtrations and $p$-adic differential modules, I: equal characteristic case

Cited by in corpus (5)

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• Integration on product spaces and GL_n of a valuation field over a local field
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