Theory of Fundamental Bessel Functions of High Rank

DOI10.1090/memo/1303zbMath1464.33001arXiv1612.03553OpenAlexW3120977680MaRDI QIDQ4983686

Zhi Qi

Publication date: 26 April 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03553

zbMATH Keywords

Hankel transformsVoronoi summation formulaMatrix differential equationformal integral representationsnew integral definition

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Research exposition (monographs, survey articles) pertaining to special functions (33-02)

Related Items (10)

Moments of central 𝐿-values for Maass forms over imaginary quadratic fields ⋮ Sub-convexity bound for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions: the depth aspect ⋮ A Vorono\xEF–Oppenheim summation formula for number fields ⋮ Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\) ⋮ Algebraic twists of GL3 × GL2 L-functions ⋮ LOW‐LYING ZEROS OF L ‐FUNCTIONS FOR MAASS FORMS OVER IMAGINARY QUADRATIC FIELDS ⋮ Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions ⋮ Bessel identities in the Waldspurger correspondence over the complex numbers ⋮ A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\) ⋮ On the conformal spin dependence of the perturbative QCD vacuum singularity

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