Bessel identities in the Waldspurger correspondence over a p- adic field

DOI10.1353/ajm.2003.0008zbMath1037.11034OpenAlexW2058724703MaRDI QIDQ4707527

Ehud Moshe Baruch, Zhengyu Mao

Publication date: 3 March 2004

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

Full work available at URL: https://doi.org/10.1353/ajm.2003.0008

zbMATH Keywords

Bessel distributionrelative trace formulaWaldspurger correspondence

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (14)

On the Fourier transform of Bessel functions over complex numbers. I: The spherical case ⋮ The Whittaker period formula on metaplectic 𝑆𝐿₂ ⋮ A weak kernel formula for Bessel functions ⋮ Functional equations and gamma factors of local zeta functions for the metaplectic cover of \(\mathrm{SL}_2\) ⋮ A Bessel identity for the theta correspondence ⋮ Bessel identities in the Waldspurger correspondence over the real numbers ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}(2,\mathbb R)\). ⋮ Bessel functions for \(\mathrm{GL}_2\) ⋮ Bessel identities in the Waldspurger correspondence over the complex numbers ⋮ On the Fourier transform of Bessel functions over complex numbers—II: The general case ⋮ Theory of Fundamental Bessel Functions of High Rank ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\) ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ Periods and global invariants of automorphic representations

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