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Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis
Author(s) -
Ku Min,
Wang Daoshun
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1368
Subject(s) - mathematics , clifford analysis , infinity , clifford algebra , polynomial , dirac (video compression format) , dirac equation , dirac algebra , representation (politics) , pure mathematics , mathematical analysis , algebra over a field , mathematical physics , dirac operator , law , quantum mechanics , physics , politics , political science , neutrino
In this paper we study polynomial Dirac equation p () f = 0 including ( − λ) f = 0 with complex parameter λ and k f = 0( k ⩾1) as special cases over unbounded subdomains of ℝ n + 1 . Using the Clifford calculus, we obtain the integral representation theorems for solutions to the equations satisfying certain decay conditions at infinity over unbounded subdomains of ℝ n + 1 . Copyright © 2010 John Wiley & Sons, Ltd.