Geodesic
Analysis on arithmetic schemes. I
Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 261-284.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

A shift invariant measure on a two dimensional local field, taking values in formal power series over reals, is introduced and discussed. Relevant elements of analysis, including analytic duality, are developed. As a two dimensional local generalization of the works of Tate and Iwasawa a local zeta integral on the topological Milnor $K_2^t$-group of the field is introduced and its properties are studied.
Classification : 11S40, 11S70, 42A38 
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     title = {Analysis on arithmetic schemes. {I}},
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Fesenko, Ivan. Analysis on arithmetic schemes. I. Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 261-284. http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a15/