Semiinfinite Symmetric Powers
نویسندگان
چکیده
The importance of generalizing the construction (b) was emphasized by A.N. Parshin [P2-3]. Among other things, he pointed out that all the 4 types of possible combinations of inductive and projective limits of the spaces of measures on m/m have very transparent analytic meaning (Schwartz-Bruhat functions vs. distributions, compact support vs. arbitrary support) and called for a generalization of this approach to higher local fields. This note can be seen as step in that direction, treating 2-dimensional local fields such as R((t)),C((t)). More general 2-dimensional local fields and adeles (see [P1] for background) will be considered in a subsequent paper.
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