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Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables. (arXiv:math/0104209v5 [math.CV] UPDATED)

来源于:arXiv
We recall known and establish new properties of the Dieudonn\'e and Moore determinants of quaternionic matrices.Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables. Then we introduce and briefly discuss quaternionic Monge-Amp\'ere equations. 查看全文>>