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In recent years, the study of slice Dirac operators has attracted more and more attention in the literature. In this paper, Almansi-type decompositions for null solutions to the iterated slice Dirac operator and the generalized slice Dirac operator are obtained without a star-like domain centered at the origin. As applications, we investigate Riquier type problems and Dirichlet type problems in the theory of slice monogenic functions.
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참고문헌 (19)
참고문헌 신청
E. Almansi / 1899 / Sullintegrazione dellequazione differenziale ${\Delta}^{2m}u=0$ / Annali di Mat. 2(3):1~51
N. Aronszajn / 1983 / Polyharmonic functions, Oxford Mathematics Monographs / The Clarendon Press, Oxford University Press
F. Brackx / 1982 / Clifford Analysis, Pitman Research Notes in Mathematics Series, vol. 76 / Pitman
L. Cnudde / 2015 / Algebraic approach to Slice Monogenic functions / Complex Anal. Oper. Theory 9(5):1065~1087
F. Colombo / 2009 / Slice monogenic functions / Isr. J. Math. 171:385~403
N. Aronszajn / 1983 / Polyharmonic functions, Oxford Mathematics Monographs / The Clarendon Press, Oxford University Press
F. Brackx / 1982 / Clifford Analysis, Pitman Research Notes in Mathematics Series, vol. 76 / Pitman
L. Cnudde / 2015 / Algebraic approach to Slice Monogenic functions / Complex Anal. Oper. Theory 9(5):1065~1087
F. Colombo / 2009 / Slice monogenic functions / Isr. J. Math. 171:385~403
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