Bessel functions on \(\mathrm{GL}(n)\). I
From MaRDI portal
Publication:6633939
DOI10.1016/j.jfa.2024.110657MaRDI QIDQ6633939
Publication date: 6 November 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Other hypergeometric functions and integrals in several variables (33C70) Other groups and their modular and automorphic forms (several variables) (11F55) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Harmonic analysis and PDEs (42B37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A conjecture on Whittaker-Fourier coefficients of cusp forms
- Whittaker functions on semisimple Lie groups
- On explicit integral formulas for \(\text{GL}(n, \mathbb R)\)-Whittaker functions. With an appendix by Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein
- Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
- New formulas for Whittaker functions on \(\text{GL}(n,\mathbb R)\)
- Poincaré series for GL(n): Fourier expansion, Kloosterman sums, and algebreo-geometric estimates
- On the functional equations satisfied by Eisenstein series
- Kloosterman sets in reductive groups
- On a transcendental function and its applications to the summation of some series.
- Über die Entwicklungskoeffizienten der automorphen Formen
- Archimedean \(L\)-factors on \(\text{GL}(n)\times\text{GL}(n)\) and generalized Barnes integrals
- Higher weight on \(\mathrm{GL}(3)\). I: The Eisenstein series
- Bessel identities in the Waldspurger correspondence over the real numbers
- A remark on Whittaker functions on SL\((n,{\mathbb R})\).
- The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). II: The general case
- A uniform estimate for the density of rational points on quadrics
- The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). I: The Whittaker case
- On sums of \(\mathrm{SL}(3,\mathbb{Z})\) Kloosterman sums
- A Whittaker-Plancherel inversion formula for \(\mathrm{SL}(2,\mathbb R)\).
- Density theorems for \(\mathrm{GL}(n)\)
- On Bessel distributions for quasi-split groups
- Mellin transforms of \(\text{GL}(n,\mathbb R)\) Whittaker functions
- The spectral Kuznetsov formula on \(\mathrm{SL}(3)\)
- On the determination of the Plancherel measure for Lebedev–Whittaker transforms on \mathop GL(n)
- Subconvexity for twisted <i>L</i>-functions on GL(3)
- On the subconvexity problem for L-functions on GL(3)
- Voronoi formulas on GL(n)
- Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms
- An orthogonality relation for (with an appendix by Bingrong Huang)
- Calculus of archimedean Rankin–Selberg integrals with recurrence relations
- Kuznetsov, Petersson and Weyl on GL(3), I: The principal series forms
- Subconvexity for $L$-functions of non-spherical cusp forms on ${\rm GL}(3)$
- Automorphic Forms and L-Functions for the GroupGL(n, R)
- Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\)
This page was built for publication: Bessel functions on \(\mathrm{GL}(n)\). I
