Bessel identities in the Waldspurger correspondence over the complex numbers

DOI10.1007/s11856-020-1966-3zbMath1477.11098arXiv1802.01229OpenAlexW2999615629WikidataQ126337660 ScholiaQ126337660MaRDI QIDQ2303696

Zhi Qi, Jingsong Chai

Publication date: 4 March 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01229

zbMATH Keywords

relative trace formulaBessel functionWaldspurger correspondence

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

A Vorono\xEF–Oppenheim summation formula for number fields ⋮ On the Fourier transform of Bessel functions over complex numbers—II: The general case ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\)

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