Some remarks on symplectic automorphisms
Author:
George W. Mackey
Journal:
Proc. Amer. Math. Soc. 16 (1965), 393397
MSC:
Primary 22.60; Secondary 22.65
MathSciNet review:
0177064
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
L.
H. Loomis, Note on a theorem of Mackey, Duke Math. J.
19 (1952), 641–645. MR 0050596
(14,352c)
 [2]
L.
H. Loomis, Positive definite functions and induced
representations, Duke Math. J. 27 (1960),
569–579. MR 0148798
(26 #6303)
 [3]
George
W. Mackey, A theorem of Stone and von Neumann, Duke Math. J.
16 (1949), 313–326. MR 0030532
(11,10b)
 [4]
George
W. Mackey, Unitary representations of group extensions. I,
Acta Math. 99 (1958), 265–311. MR 0098328
(20 #4789)
 [5]
I.
E. Segal, Foundations of the theory of dynamical systems of
infinitely many degrees of freedom. I, Mat.Fys. Medd. Danske Vid.
Selsk. 31 (1959), no. 12, 39 pp. (1959). MR 0112626
(22 #3477)
 [6]
I.
E. Segal, Transforms for operators and symplectic automorphisms
over a locally compact abelian group, Math. Scand. 13
(1963), 31–43. MR 0163183
(29 #486)
 [7]
David
Shale, Linear symmetries of free boson
fields, Trans. Amer. Math. Soc. 103 (1962), 149–167. MR 0137504
(25 #956), http://dx.doi.org/10.1090/S00029947196201375046
 [1]
 L. H. Loomis, Note on a theorem of Mackey, Duke Math. J. 19 (1952), 641645. MR 0050596 (14:352c)
 [2]
 , Positive definite functions and induced representations, Duke Math. J. 27 (1960), 564579. MR 0148798 (26:6303)
 [3]
 G. W. Mackey, On a theorem of Stone and von Neumann, Duke Math. J. 16 (1949), 313326. MR 0030532 (11:10b)
 [4]
 , Unitary representations of group extensions. I, Acta Math. 99 (1958), 265311. MR 0098328 (20:4789)
 [5]
 I. E. Segal, Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I, Mat. Fys. Medd. Danske Vid. Selsk. 31 (1959), no. 12, 139. MR 0112626 (22:3477)
 [6]
 , Transforms for operators and symplectic automorphisms over a locally compact abelian group, Math. Scand. 13 (1963), 3143. MR 0163183 (29:486)
 [7]
 D. Shale, Linear symmetries of free boson fields, Trans. Amer. Math. Soc. 103 (1962), 149167. MR 0137504 (25:956)
Similar Articles
Retrieve articles in Proceedings of the American Mathematical Society
with MSC:
22.60,
22.65
Retrieve articles in all journals
with MSC:
22.60,
22.65
Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939196501770645
PII:
S 00029939(1965)01770645
Article copyright:
© Copyright 1965
American Mathematical Society
