On generalized Fourier Transforms for standard L-functions (with an appendix by Wen-Wei Li)

@article{Shahidi2016OnGF,
  title={On generalized Fourier Transforms for standard L-functions (with an appendix by Wen-Wei Li)},
  author={F. Shahidi},
  journal={arXiv: Number Theory},
  year={2016}
}
  • F. Shahidi
  • Published 2016
  • Mathematics
  • arXiv: Number Theory
Any generalization of the method of Godement-Jacquet on principal L-functions for GL(n) to other groups as perceived by Braverman-Kazhdan and Ngo requires a Fourier transform on a space of Schwartz functions. In the case of standard L-functions for classical groups, a theory of this nature was developed by Piatetski-Shapiro and Rallis, called the doubling method. It was later that Braverman and Kazhdan, using an algebro-geometric approach, different from doubling method, introduced a space of… Expand

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