Yeongseong Jo, Muthu Krishnamurthy
Published 2019-06-15Version 1
For a quadratic extension $E/F$ of non-archimedean local fields of characteristic not equal to $2$, we prove the stability of Asai local factors attached to irreducible admissible representations of $GL(2,E)$ via the Rankin-Selberg method. Our strategy is to compute the associated zeta integrals using certain special Whittaker functions called Howe Whittaker functions which are also partial Bessel functions.
Raising nilpotent orbits in wave-front sets
Local Zeta Functions, pseudodifferential operators, and Sobolev-type spaces over non-Archimedean Local Fields
The Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups over Archimedean Local Fields
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