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Cramér theorem on symmetric spaces of noncompact type

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Abstract

We prove the Cramér theorem forK-invariant Gaussian measures on irreducible symmetric spacesX=G/K withG semisimple noncompact. To do this we use a kind of Abel transform ofK-invariant measures onX.

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This research is supported by KBN Grant.

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Graczyk, P. Cramér theorem on symmetric spaces of noncompact type. J Theor Probab 7, 609–613 (1994). https://doi.org/10.1007/BF02213571

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