A kernel formula for the action of the Weyl element in the Kirillov model of \(\mathrm{SL}(2,\mathbb{C})\)

DOI10.1016/J.JNT.2014.02.001zbMath1305.22017OpenAlexW1975682485MaRDI QIDQ462819

Ehud Moshe Baruch, Orr Beit-Aharon

Publication date: 22 October 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.02.001

zbMATH Keywords

Bessel functionsKirillov model

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (7)

On the Fourier transform of Bessel functions over complex numbers. I: The spherical case ⋮ A Vorono\xEF–Oppenheim summation formula for number fields ⋮ Bessel identities in the Waldspurger correspondence over the complex numbers ⋮ On the Fourier transform of Bessel functions over complex numbers—II: The general case ⋮ Voronoi summation formula for Gaussian integers ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\) ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields

Cites Work

• Bessel identities in the Waldspurger correspondence over the real numbers
• A note on the mean value of the zeta and \(L\)-functions. XIII.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A kernel formula for the action of the Weyl element in the Kirillov model of \(\mathrm{SL}(2,\mathbb{C})\)