We introduce an analog of Fourier transform in interior of light cone that commutes with the action of the Lorentz group. We describe some properties of , namely, its action on pseudoradial functions and functions being products of pseudoradial function and space hyperbolic harmonics. We prove that -transform gives a one-to-one correspondence on each of the irreducible components of quasiregular representation. We calculate the inverse transform too.
Tatyana Shtepina. "On Analog of Fourier Transform in Interior of the Light Cone." Abstr. Appl. Anal. 2014 (SI26) 1 - 7, 2014. https://doi.org/10.1155/2014/685794