Paley-Wiener Theorems for a p-Adic Spherical Variety

Released on by Patrick Delorme
preview-18

  • Paley-Wiener Theorems for a p-Adic Spherical Variety Book Detail

  • Author : Patrick Delorme
  • Release Date : 2021-06-21
  • Publisher : American Mathematical Soc.
  • Genre : Education
  • Pages : 102
  • ISBN 13 : 147044402X
  • File Size : 11,11 MB
DOWNLOAD BOOK

Paley-Wiener Theorems for a p-Adic Spherical Variety by Patrick Delorme PDF Summary

Book Description: Let SpXq be the Schwartz space of compactly supported smooth functions on the p-adic points of a spherical variety X, and let C pXq be the space of Harish-Chandra Schwartz functions. Under assumptions on the spherical variety, which are satisfied when it is symmetric, we prove Paley–Wiener theorems for the two spaces, characterizing them in terms of their spectral transforms. As a corollary, we get relative analogs of the smooth and tempered Bernstein centers — rings of multipliers for SpXq and C pXq.WhenX “ a reductive group, our theorem for C pXq specializes to the well-known theorem of Harish-Chandra, and our theorem for SpXq corresponds to a first step — enough to recover the structure of the Bern-stein center — towards the well-known theorems of Bernstein [Ber] and Heiermann [Hei01].

Disclaimer: www.yourbookbest.com does not own Paley-Wiener Theorems for a p-Adic Spherical Variety books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.