Semi-groups and representations of Lie groups
This was submitted for a Ph.D. thesis in mathematics at Yale University.
Examining again, after forty years, the verification of the basic estimates of the second part, I found a large number of misprints, so that it would have been difficult if not impossible to follow my arguments line by line. I have tried in the present version to correct the misprints, but cannot be certain to have fully succeeded.
The thesis remains, to my regret, my only active encounter with partial differential equations, a subject to which I had always hoped to return but in a different vein.
Some holomorphic semi-groups
This first appeared in the the Proceedings of the National Academy of Sciences 46 (1960).
On Lie semi-groups
This first appeared in the Canadian Journal of Mathematics 12, 1960.