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As a consequence of the Second Law of Thermodynamics the imaginary parts of linear response functions are positive definite for positive frequencies. Resulting from this fact inequalities based on the fluctuation dissipation theorem are derived for the moments of these imaginary parts and of the related correlation functions. Moments without physical meaning have been eliminated.

Stabilität von Vielteilchensystemen bei äußeren Störungen:: I. Ableitung von Momentenungleichungen