Invariant differential equations on homogeneous manifolds

DOI10.1090/S0002-9904-1977-14317-6zbMath0377.43009OpenAlexW2162048906WikidataQ56593877 ScholiaQ56593877MaRDI QIDQ4157130

Sigurdur Helgason

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1977-14317-6

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Partial differential equations on manifolds; differential operators (58J99)

Related Items (17)

Laplacians on spheres ⋮ Integrability and Huygens' principle on symmetric spaces ⋮ Quasi-Hamiltonian structure and Hojman construction ⋮ The history of the concept of a finite-dimensional vector space ⋮ Harmonic analysis on reductive Lie groups ⋮ Symmetries of linear systems of second-order ordinary differential equations ⋮ A centennial: Wilhelm Killing and the exceptional groups ⋮ Centers and characters of Jacobi group-invariant differential operator algebras ⋮ Lie groups ⋮ The motions of an ordinary differential equation ⋮ Last multipliers on Lie algebroids ⋮ Une classe d'opérateurs différentiels invariants sur le groupe de Heisenberg. (A class of invariant differential operators on the Heisenberg group) ⋮ Eigenspaces of the Laplace-Beltrami operator on a hyperboloid ⋮ Remarks on irreducibility of eigenspace representations ⋮ On the pointwise converse of Fatou's theorem for Euclidean and real hyperbolic spaces ⋮ Non-rigid parabolic geometries of Monge type ⋮ Paley-Wiener theorems on a symmetric space and their application

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