A generalized 𝒯-transform for the Fourier-type functional and its applications
Hyun Soo Chung, Il Yong Lee · Integral Transforms and Special Functions · 2022
The main purpose of this paper is to define a generalized T-transform, is denoted by Tn, on function space. This transform can be used to calculate various functionals which are not calculated in the previous paper. We then establish the existence of transform for Fourier-type functionals with some examples in quantum mechanics. Finally, we obtain some relationships for Tn-transforms involving the generalized Cameron-Storvick theorem and the recurrence formulas for the Tn-transform.