A Bessel identity for the theta correspondence

DOI10.1007/s11856-012-0097-xzbMath1334.11031OpenAlexW2089391963MaRDI QIDQ1955738

Zhengyu Mao, Erez M. Lapid, Ehud Moshe Baruch

Publication date: 18 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11856-012-0097-x

zbMATH Keywords

generic representationstheta correspondenceBessel distributions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

Complementary results on the Rankin-Selberg gamma factors of classical groups, Relative Character Identities and Theta Correspondence

Cites Work

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• The multiplicity one conjecture for local theta correspondences
• Distinction by the quasi-split unitary group
• Uniqueness of Whittaker model for the metaplectic group
• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• On the nonvanishing of some \(L\)-functions
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Values of L-series of modular forms at the center of the critical strip
• Spatial intermittency in the classical two-dimensional and geostrophic turbulence
• Heegner points, cycles and Maass forms
• On some explicit formulas in the theory of Weil representation
• The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
• The induced Weil representation and the Shalika period
• Howe duality and the trace formula
• Bessel identities in the Waldspurger correspondence over the real numbers
• On the Fourier coefficients of nonholomorphic Hilbert modular forms of half-integral weight
• On Fourier coefficients of Maass wave forms of half integral weight belonging to Kohnen's spaces
• Symplectic-orthogonal theta lifts of generic discrete series
• Central value of automorphic \(L\)-functions
• Formal degrees and local theta correspondence
• On modular forms of half integral weight
• Théorème de Paley—Wiener pour les fonctions de Whittaker sur un groupe réductif p-adique
• Transcending Classical Invariant Theory
• On the asymptotics of Whittaker functions
• On the Fourier coefficients of Maass wave forms of half integral weight over an imaginary quadratic field
• Bessel identities in the Waldspurger correspondence over a p- adic field
• Jacquet modules of the Weil representations and families of relative trace identities
• On the theta lift from SO2n+1 to n.
• Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
• Correspondances de Shimura et quaternions
• On the genericity of cuspidal automorphic forms of $\mathbf{SO}\bm{(2n+1)}$, II
• On Waldspurger's theorem