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TracingCurves Skip to content TracingCurves Menu Search Home About MathsPhys blog Notes General Reading Search for: Search The Mellin Transform On September 23, 2024 September 23, 2024 By Robert G. C. Smith In MathsPhys blog The Mellin transform has proven a very useful mathematical tool in the course of my research. For instance, in the context of our lovely and extremely large class of regulator functions , to show all divergent pieces of an infinite sum vanish we consider the Mellin transform of the smooth cutoff. More recently, I’ve also found use of the Mellin transform in the context of things like the path integral formulation of QFT, modular forms, and even string amplitudes. So what exactly is it? In physics, the Mellin transform seems to be the lesser known of integral transforms – e.g. in comparison to the Fourier and Laplace transformations. Perhaps this is because the latter were introduced in primarily physical contexts to solve...
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