Fatou theorems for eigenfunctions of the invariant differential operators on symmetric spaces
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- by H. Lee Michelson PDF
- Trans. Amer. Math. Soc. 177 (1973), 257-274 Request permission
Abstract:
On a Riemannian symmetric space of noncompact type we introduce a generalization of the Poisson kernel which may be used to generate simultaneous eigenfunctions of the invariant differential operators with eigenvalues not necessarily zero. We investigate the boundary behavior of our generalized Poisson integrals, extending to them many of the Fatou-type theorems known for harmonic functions.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 177 (1973), 257-274
- MSC: Primary 53C35; Secondary 43A85
- DOI: https://doi.org/10.1090/S0002-9947-1973-0319113-6
- MathSciNet review: 0319113