Fractional Mellin Transform -- A possible application in CFT

TL;DR

This paper introduces a fractional Mellin transform with an adjustable parameter, potentially simplifying calculations and improving convergence in Conformal Field Theory applications.

Contribution

It proposes a novel fractional Mellin transform variant designed for use in Conformal Field Theory, offering enhanced flexibility and computational advantages.

Findings

Potential for simplified calculations in CFT

Adjustable parameter improves convergence

Foundation for further applications in theoretical physics

Abstract

We propose a fractional variant of Mellin's transform which may find an application in the Conformal Field Theory. Its advantage is the presence of an arbitrary parameter which may substantially simplify calculations and help adjusting convergence.