On Analog of Fourier Transform in Interior of the Light Cone

Tatyana Shtepina

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:685794

DOI: 10.1155/2014/685794

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