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Hyperbolic harmonic function in Minkowski space - MaRDI portal

Hyperbolic harmonic function in Minkowski space (Q885701)

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scientific article; zbMATH DE number 5164696
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Hyperbolic harmonic function in Minkowski space
scientific article; zbMATH DE number 5164696

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    Hyperbolic harmonic function in Minkowski space (English)
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    14 June 2007
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    The author studies the properties of the four-dimensional Minkowski space \(M_4=\mathbf R ^{3,1}\) by using the corresponding Clifford algebra. A notion of hyperbolic harmonic function in \(M_4\) is introduced by a construction of a special system \((P_4)\) of partial differential equations. Several properties of \((P_4)\) are discussed and a sufficient and necessary condition for the solvability of the system \((P_4)\) is obtained.
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    Clifford algebra
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    Minkowski space
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    hyperbolic harmonic function
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