Institut Élie Cartan de Lorraine

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19982026

most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

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8 papers · 2 filters

math.RT2021

On Poisson transforms of differential forms on real hyperbolic spaces

Salem Bensaïd, Abdelhamid Boussejra, Khalid Koufany

This paper is concerned with the Poisson transform of differential forms on the hyperbolic space $H^{n} (R)$ . Consider an integer $p$ such that $1 ⩽ p ⩽ n$ and l…

math.RT2021

The wave front set correspondence for dual pairs with one member compact

M. McKee, A. Pasquale, T. Przebinda

Let W be a real symplectic space and (G,G') an irreducible dual pair in Sp(W), in the sense of Howe, with G compact. Let $G$ be the preimage of G in the metapl…

math.RT2021★ 1 cited

Symmetry breaking operators for dual pairs with one member compact

M. McKee, A. Pasquale, T. Przebinda

We consider a dual pair $(G, G^{'})$ , in the sense of Howe, with G compact acting on $L^{2} (R^{n})$ , for an appropriate $n$ , via the Weil representation $ω$ . Let $\tilde{\mathrm{…

math.RT2021

Towards canonical representations of finite Heisenberg groups

Sergey Lysenko

We consider a finite abelian group $M$ of odd exponent $n$ with a symplectic form $ω : M \times M \to μ_{n}$ and the Heisenberg extension $1 \to μ_{n} \to H \to M \to 1$ with the commutator $…

math.RT2021

Construction à la Ibukiyama of symmetry breaking differential operators, I

Jean-Louis Clerc

The construction of symmetry breaking differential operators, using invariant pluri-harmonic polynomials, due to T. Ibukiyama in the context of the Siegel upper half space, is exte…

math.RT2021

Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations

Salah Mehdi, Martin Olbrich

We consider compact locally symmetric spaces $Γ\ G / H$ where $G / H$ is a non-compact semisimple symmetric space and $Γ$ is a discrete subgroup of $G$ . We discuss some featur…