Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Modified Poisson kernels on rank one symmetric spaces

Author: Anna Maria Mantero
Journal: Proc. Amer. Math. Soc. 77 (1979), 211-217
MSC: Primary 22E30; Secondary 31C05, 43A85
MathSciNet review: 542087
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22E30, 31C05, 43A85

Retrieve articles in all journals with MSC: 22E30, 31C05, 43A85

Additional Information

PII: S 0002-9939(1979)0542087-0
Article copyright: © Copyright 1979 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia