Nonabelian fourier transforms for spherical representations
Publication
, Journal Article
Getz, JR
Published in: Pacific Journal of Mathematics
January 1, 2018
Braverman and Kazhdan have introduced an influential conjecture on local functional equations for general Langlands L-functions. It is related to L. Lafforgue's equally influential conjectural construction of kernels for functorial transfers. We formulate and prove a version of Braverman and Kazhdan's conjecture for spherical representations over an archimedean field that is suitable for application to the trace formula. We then give a global application related to Langlands' beyond endoscopy proposal. It is motivated by Ngô's suggestion that one combine nonabelian Fourier transforms with the trace formula in order to prove the functional equations of Langlands L-functions in general.
Duke Scholars
Published In
Pacific Journal of Mathematics
DOI
ISSN
0030-8730
Publication Date
January 1, 2018
Volume
294
Issue
2
Start / End Page
351 / 373
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Getz, J. R. (2018). Nonabelian fourier transforms for spherical representations. Pacific Journal of Mathematics, 294(2), 351–373. https://doi.org/10.2140/pjm.2018.294.351
Getz, J. R. “Nonabelian fourier transforms for spherical representations.” Pacific Journal of Mathematics 294, no. 2 (January 1, 2018): 351–73. https://doi.org/10.2140/pjm.2018.294.351.
Getz JR. Nonabelian fourier transforms for spherical representations. Pacific Journal of Mathematics. 2018 Jan 1;294(2):351–73.
Getz, J. R. “Nonabelian fourier transforms for spherical representations.” Pacific Journal of Mathematics, vol. 294, no. 2, Jan. 2018, pp. 351–73. Scopus, doi:10.2140/pjm.2018.294.351.
Getz JR. Nonabelian fourier transforms for spherical representations. Pacific Journal of Mathematics. 2018 Jan 1;294(2):351–373.
Published In
Pacific Journal of Mathematics
DOI
ISSN
0030-8730
Publication Date
January 1, 2018
Volume
294
Issue
2
Start / End Page
351 / 373
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics