Uniform analysis on local fields and applications to orbital integrals

  title={Uniform analysis on local fields and applications to orbital integrals},
  author={R. Cluckers and Julia Gordon and Immanuel Halupczok},
  • R. Cluckers, Julia Gordon, Immanuel Halupczok
  • Published 2017
  • Mathematics
  • We study upper bounds, approximations, and limits for functions of motivic exponential class, uniformly in non-Archimedean local fields whose characteristic is $0$ or sufficiently large. Our results together form a flexible framework for doing analysis over local fields in a field-independent way. As corollaries, we obtain many new transfer principles, for example, for local constancy, continuity, and existence of various kinds of limits. Moreover, we show that the Fourier transform of an $L^2… CONTINUE READING


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