Advertisement

Should one generalize the Weyl calculus to an adelic setting ?

Chapter
  • 508 Downloads
Part of the Pseudo-Differential Operators book series (PDO, volume 8)

Abstract

As indicated by the question mark, this chapter is a tentative one. One of its purposes is to point towards one reason for doing pseudo-differential analysis in an adelic setting, beyond the obvious observation that dealing with prime numbers one at a time, when possible, certainly clarifies things. On the other hand, one can also find some reasons not to do so, especially if one restricts one’s interest, as will be the case here, to adeles of the field Q.

Keywords

Zeta Function Wigner Function Eisenstein Series Homogeneous Component Symbolic Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel 2011

Authors and Affiliations

  1. 1.Mathématiques U.F.R. des SciencesUniversité de ReimsReims Cedex 2France

Personalised recommendations