Bessel Identities in the Waldspurger Correspondence over the Complex Numbers

31 Mar 2019 Chai Jingsong Qi Zhi

We prove certain identities between relative Bessel functions attached to irreducible unitary representations of $\mathrm{PGL}_2(\mathbb{C})$ and Bessel functions attached to irreducible unitary representations of $\mathrm{SL}_2 (\mathbb{C})$. These identities reflect the Waldspurger correspondence over $\mathbb{C}$... (read more)

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  • REPRESENTATION THEORY