A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\)
From MaRDI portal
Publication:2073031
DOI10.1007/s11854-021-0180-5zbMath1487.22020arXiv1808.03882OpenAlexW4200618855MaRDI QIDQ2073031
Publication date: 27 January 2022
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03882
Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over local fields (22E50) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A kernel formula for the action of the Weyl element in the Kirillov model of \(\mathrm{SL}(2,\mathbb{C})\)
- On the Kuznetsov trace formula for \(\operatorname{PGL}_2(\mathbb{C})\)
- The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points. II
- On the nonvanishing of some \(L\)-functions
- On Bessel distributions for \(GL_ 2\) over a \(p\)-adic field
- Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field
- Bessel identities in the Waldspurger correspondence over the real numbers
- A note on the mean value of the zeta and \(L\)-functions. XIII.
- Plancherel formula for Whittaker functions on a \(p\)-adic reductive group
- Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
- Bessel identities in the Waldspurger correspondence over the complex numbers
- A Whittaker-Plancherel inversion formula for \(\mathrm{SL}(2,\mathbb R)\).
- On Bessel distributions for quasi-split groups
- PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
- Bessel Functions: Monotonicity and Bounds
- Cusp forms for reductive symmetric spaces of split rank one
- Periods and harmonic analysis on spherical varieties
- Bessel identities in the Waldspurger correspondence over a p- adic field
- Theory of Fundamental Bessel Functions of High Rank
- AST418 - A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case
- On the Fourier transform of Bessel functions over complex numbers—II: The general case
- SOME EIGENFUNCTION FORMULAE
This page was built for publication: A Whittaker-Plancherel inversion formula for \(\mathrm{SL}_2(\mathbb{C} )\)