Theory of Distributions
Together with A. Chervyakov, Kleinert developed an extension of the theory of distributions from linear spaces to semigroups by defining their products uniquely (in the mathematical theory, only linear combinations are defined). The extension is motivated by the physical requirement that the corresponding path integrals must be invariant under coordinate transformations, which is necessary for the equivalence of the path integral formulation to Schrödinger theory.
Read more about this topic: Hagen Kleinert
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