全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:M. V. Shapiro , N. L. Vasilevski
来源:[J].Complex Variables and Elliptic Equations(IF 0.5), 1995, Vol.27 (1), pp.17-46Taylor & Francis
摘要:Quaternion-valued functions of 3 and 4 real variables arc studied which form exact analogues of the class of all holomorphic (or anti-holomorphic) functions and which are called hyperholomorphic- The set of such analogues is parametrizable by the group [image omitted] depending o...
作者:R. Rocha-chavez , M. V. Shapiro , L. M. Tovar Sanchez
来源:[J].Complex Variables and Elliptic Equations(IF 0.5), 2000, Vol.43 (1), pp.1-28Taylor & Francis
摘要:The purpose of this article is to obtain some generalizations of the usual Hilbert formulas and Hilbert operator, for two-dimensional α-hyperholomorphic function theory. Our Hilbert operator relates a pair of components of the limit function of the α-hyperholomorphic functio...
作者:V. V. Kravchenko , M. V. Shapiro
来源:[J].Acta Applicandae Mathematicae(IF 0.985), 1993, Vol.32 (3), pp.243-265Springer
摘要:Abstract(#br)A theory of quaternion-valued hyperholomorphic functions (h.h.f.) is being developed which is closely related to the Maxwell equations for monochromatic electromagnetic fields. The main integral formulas are established, and some boundary-value properties are studied...
作者:V. V. Kravchenko , E. Ramírez de Arellano , M. V. Shapiro
来源:[J].Mathematical Methods in the Applied Sciences(IF 0.778), 1996, Vol.19 (12), pp.977-989Wiley
摘要:Abstract(#br)A new approach to the boundary value problem for the classic Dirac equation is proposed. This approach is based on a recent version of the metaharmonic quaternionic analysis developed in [14–16]. In particular, the following problem is studied: when and how a gi...

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