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- W2093963112 abstract "We introduce an analog of Fourier transform<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=script>F</mml:mi></mml:mrow><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>in interior of light cone that commutes with the action of the Lorentz group. We describe some properties of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=script>F</mml:mi></mml:mrow><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>, namely, its action on pseudoradial functions and functions being products of pseudoradial function and space hyperbolic harmonics. We prove that<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=script>F</mml:mi></mml:mrow><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>-transform gives a one-to-one correspondence on each of the irreducible components of quasiregular representation. We calculate the inverse transform too." @default.
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- W2093963112 date "2014-01-01" @default.
- W2093963112 modified "2023-09-26" @default.
- W2093963112 title "On Analog of Fourier Transform in Interior of the Light Cone" @default.
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- W2093963112 doi "https://doi.org/10.1155/2014/685794" @default.
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