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Analytic continuation of group representations. VI

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Abstract

The Gell-Mann formula for analytically continuing group representations is worked out explicitly for more cases than in previous work, and extended to certain pseudo-Riemannian symmetric spaces. The method of finding the asymptotic behavior of matrix elements of group representations introduced in Part V is developed in more detail and it is shown how it leads to new mathematical problems in the theory of dynamical systems and Hilbert space theory.

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References

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Work supported by the U.S. Atomic Energy Commission.

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Hermann, R. Analytic continuation of group representations. VI. Commun.Math. Phys. 6, 205–225 (1967). https://doi.org/10.1007/BF01659977

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  • DOI: https://doi.org/10.1007/BF01659977

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