# 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} }

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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