Inverse Laplace and Mellin integral transforms modified for use in quantum communications
The research modifies inverse Laplace and Mellin integral transformations to solve complex integro-differential equations in quantum field theory, such as the optic theorem. This modification extends their application beyond standard intervals, allowing them to be used for functions defined on extended domains like [0, ∞[ and [-∞, ∞]. This new mathematical framework is then linked to constructing renormalization group equations relevant for quantum communication protocols.