Integration on Valuation Fields over Local Fields

Matthew MORROW

doi:10.3836/tjm/1279719589

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Home > Journals > Tokyo J. Math. > Volume 33 > Issue 1 > Article

June 2010 Integration on Valuation Fields over Local Fields

Matthew MORROW

Tokyo J. Math. 33(1): 235-281 (June 2010). DOI: 10.3836/tjm/1279719589

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Abstract

We present elements of a theory of translation-invariant integration, measure, and harmonic analysis on a valuation field with local field as residue field, extending work of I. Fesenko. Applications to zeta integrals for two-dimensional local fields are then considered.

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Matthew MORROW. "Integration on Valuation Fields over Local Fields." Tokyo J. Math. 33 (1) 235 - 281, June 2010. https://doi.org/10.3836/tjm/1279719589