Unitary quasilifting: applications

Author:
Yuval Z. Flicker

Journal:
Trans. Amer. Math. Soc. **294** (1986), 553-565

MSC:
Primary 11F70; Secondary 22E55

DOI:
https://doi.org/10.1090/S0002-9947-1986-0825721-5

MathSciNet review:
825721

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Abstract: Let be the quasi-split unitary group in three variables defined using a quadratic extension of number fields. Complete local and global results are obtained for the -endo-(unstable) lifting from to . This is used to establish quasi-(endo-)lifting for automorphic forms from to by means of base change from to . Base change quasi-lifting is also proven. Continuing the work of , the exposition is elementary, and uses only a simple form of an identity of trace formulas, and base change transfer of orbital integrals of spherical functions.

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DOI:
https://doi.org/10.1090/S0002-9947-1986-0825721-5

Article copyright:
© Copyright 1986
American Mathematical Society