Singular fourier integral operators and representations of nilpotent lie groups

DOI10.1002/cpa.3160310605zbMath0391.46033OpenAlexW2056944058WikidataQ115406203 ScholiaQ115406203MaRDI QIDQ4172483

Frederick P. Greenleaf, Lawrence J. Corwin

Publication date: 1978

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160310605

zbMATH Keywords

DistributionsLebesgue MeasureSingular SupportLocally L1-Space FunctionRate of Growth of Singular HyperplaneReal Analytic FunctionRepresentations of Nilpotent Lie GroupsSingular Fourier Integral OperatorsTrace Characters

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items (9)

A Formula for Distribution Trace Characters on Nilpotent Lie Groups ⋮ Modules for certain Lie algebras of maximal class ⋮ Majoration de la transformée de Fourier de certaines mesures ⋮ Zeroes of primary summand functions on compact solvmanifolds ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ Paley‐Wiener estimates for the Heisenberg group ⋮ Spectral decomposition of invariant differential operators on certain nilpotent homogeneous spaces ⋮ Estimates of one-dimensional oscillatory integrals ⋮ Rieffel induction as generalized quantum Marsden-Weinstein reduction

Cites Work

• Sur les Representations Unitaires des Groupes de Lie Nilpotents. IV

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