Modified Poisson kernels on rank one symmetric spaces
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- by Anna Maria Mantero PDF
- Proc. Amer. Math. Soc. 77 (1979), 211-217 Request permission
Abstract:
An extension is obtained to the case of a real rank one noncompact symmetric space G/K of the solution of the following problem on half-spaces: given an arbitrary continuous function $f(x)$ on ${{\mathbf {R}}^n}$, is it possible to find a function F on ${{\mathbf {R}}^n} \times {{\mathbf {R}}^ + }$ such that $F(x,y)$ is continuous for $y > 0$, harmonic for $y > 0$ and such that $F(x,0) = f(x)$?References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 211-217
- MSC: Primary 22E30; Secondary 31C05, 43A85
- DOI: https://doi.org/10.1090/S0002-9939-1979-0542087-0
- MathSciNet review: 542087