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Gaussian Random Functions Viola Eckelt werde ihre Motive und AkzenteIt is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory. It combines almost all conceivable nice properties that a distribution may ever have: symmetry, stability, indecomposability, a regular tail behavior, etc. Gaussian measures (the distributions of Gaussian random functions), as infinite dimensional analogues of tht< classical normal distribution, go to work as such