Analysis on Arithmetic Schemes. I

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.

2000 Mathematics Subject Classification: 28B99, 28C99, 28E05, 28-99, 42-99, 11S99, 11M99, 11F99, 11-99, 19-99.

Keywords and Phrases:

Full text: dvi.gz 41 k, dvi 104 k, ps.gz 638 k, pdf 223 k.

Home Page of DOCUMENTA MATHEMATICA