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March 2017 Orbital Integrals on Unitary Hyperbolic Spaces Over $\frak p$-adic Fields
Masao TSUZUKI
Tokyo J. Math. 39(3): 923-975 (March 2017). DOI: 10.3836/tjm/1491465736

Abstract

For a given étale quadratic algebra $E$ over a $\mathfrak{p}$-adic field $F$, we establish a transfer of unramified test functions on the symmetric space $\mathrm{GL}(2,F)\backslash\mathrm{GL}(2,E)$ to those on a unitary hyperbolic space so that the orbital integrals match. This is an important step toward a comparison of relative trace formulas of these symmetric spaces, which would yield an example of a non-tempered analogue of a refined global Gross-Prasad conjecture.

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Masao TSUZUKI. "Orbital Integrals on Unitary Hyperbolic Spaces Over $\frak p$-adic Fields." Tokyo J. Math. 39 (3) 923 - 975, March 2017. https://doi.org/10.3836/tjm/1491465736

Information

Published: March 2017
First available in Project Euclid: 6 April 2017

zbMATH: 06727292
MathSciNet: MR3634299
Digital Object Identifier: 10.3836/tjm/1491465736

Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics

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Vol.39 • No. 3 • March 2017
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