Semi-groups and representations of Lie groups
This was submitted for a Ph.D. thesis in mathematics at Yale University.
The thesis
Langlands' comments:
There are two, related parts to this thesis: one on
representations of Lie semi-groups and
one on operators associated to representations of Lie groups.
The first part was published in the Canadian Journal of
Mathematics, but the second was published only as an
announcement in the Proceedings of the National Academy of
Sciences of the USA. It nevertheless had the good fortune
to be taken seriously by Derek Robinson, who incorporated
some of the results into his book on Elliptic Operators and Lie
Groups.
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).
The paper
On Lie semi-groups
This first appeared in the Canadian Journal of Mathematics
12, 1960.
The paper
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