## Hardy Spaces on Homogeneous Groups. (MN-28) |

The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (H The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.
- Mathematical Notes
Phillip A. Griffiths, John N. Mather, and Elias M. Stein, series editors
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