Spectral Theory and Representations\\ of Nilpotent Groups

DOI10.1090/S0273-0979-1992-00281-1zbMath0749.35030arXivmath/9204235OpenAlexW1972623923MaRDI QIDQ4005818

J. F. Nourrigat, Pierre Levy-Bruhl, Arbderemane Mohamed

Publication date: 27 September 1992

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

Full work available at URL: https://arxiv.org/abs/math/9204235

zbMATH Keywords

Schrödinger equationtrace of the heat-kernel

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items (3)

Beyond the classical Weyl and Colin de Verdière's formulas for Schrödinger operators with polynomial magnetic and electric fields ⋮ États cohérents, théorie spectrale et représentations de groupes nilpotents ⋮ The harmonic oscillator on the Heisenberg group

Cites Work

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• Nonclassical eigenvalue asymptotics
• Inégalités \(L^ 2\) et représentations de groupes nilpotents. (\(L^ 2\)-inequalities and representations of nilpotent groups)
• Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations
• Encadrement du N(\(\lambda\) ) pour un opérateur de Schrödinger avec un champ magnétique et un potentiel électrique. (Inclusion of N(\(\lambda\) ) for a Schrödinger operator with magnetic field and electric potential)
• The uncertainty principle
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Base d'ondelettes sur les groupes de Lie stratifiés
• Formule de Weyl pour les groupes de Lie nilpotents.

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