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2014 On Analog of Fourier Transform in Interior of the Light Cone
Tatyana Shtepina
Abstr. Appl. Anal. 2014(SI26): 1-7 (2014). DOI: 10.1155/2014/685794


We introduce an analog of Fourier transform F h ρ in interior of light cone that commutes with the action of the Lorentz group. We describe some properties of F h ρ , namely, its action on pseudoradial functions and functions being products of pseudoradial function and space hyperbolic harmonics. We prove that F h ρ -transform gives a one-to-one correspondence on each of the irreducible components of quasiregular representation. We calculate the inverse transform too.


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Tatyana Shtepina. "On Analog of Fourier Transform in Interior of the Light Cone." Abstr. Appl. Anal. 2014 (SI26) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022877
MathSciNet: MR3248872
Digital Object Identifier: 10.1155/2014/685794

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI26 • 2014
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