Some remarks on symplectic automorphisms

Author:
George W. Mackey

Journal:
Proc. Amer. Math. Soc. **16** (1965), 393-397

MSC:
Primary 22.60; Secondary 22.65

DOI:
https://doi.org/10.1090/S0002-9939-1965-0177064-5

MathSciNet review:
0177064

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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]**-,*Positive definite functions and induced representations*, Duke Math. J.**27**(1960), 564-579. MR**0148798 (26:6303)****[3]**G. W. Mackey,*On a theorem of Stone and von Neumann*, Duke Math. J.**16**(1949), 313-326. MR**0030532 (11:10b)****[4]**-,*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, 1-39. MR**0112626 (22:3477)****[6]**-,*Transforms for operators and symplectic automorphisms over a locally compact abelian group*, Math. Scand.**13**(1963), 31-43. MR**0163183 (29:486)****[7]**D. Shale,*Linear symmetries of free boson fields*, Trans. Amer. Math. Soc.**103**(1962), 149-167. MR**0137504 (25:956)**

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DOI:
https://doi.org/10.1090/S0002-9939-1965-0177064-5

Article copyright:
© Copyright 1965
American Mathematical Society