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Titlebook: Advances in Analysis and Geometry; New Developments Usi Tao Qian,Thomas Hempfling,Frank Sommen Book 2004 Springer Basel AG 2004 Algebra.Cli

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發(fā)表于 2025-3-21 18:26:54 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Advances in Analysis and Geometry
期刊簡稱New Developments Usi
影響因子2023Tao Qian,Thomas Hempfling,Frank Sommen
視頻videohttp://file.papertrans.cn/147/146658/146658.mp4
發(fā)行地址Contains most recent results and surveys of the state of the art in the discipline.Based on an ICM 2002 Satellite Meeting on Clifford Analysis and Its Applications in Macau
學科分類Trends in Mathematics
圖書封面Titlebook: Advances in Analysis and Geometry; New Developments Usi Tao Qian,Thomas Hempfling,Frank Sommen Book 2004 Springer Basel AG 2004 Algebra.Cli
影響因子On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations ·2 ·2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn‘t be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space.
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Miscellaneous aspects of modelling,. ∈ .. The boundary conditions are that the field be either normal or tangential at the boundary. The well-posedness of these problems is related to a Hodge decomposition of the space ..(Ω) corresponding to the operators . and . In developing this relationship, we derive a theory of nilpotent operat
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Miscellaneous aspects of modelling,These distributions are “classical” in the sense that they were already introduced, albeit dispersed, in the literature on harmonic analysis and on Clifford analysis. Amongst these classical distributions are the fundamental solutions of the natural powers of the Laplace and the Dirac operators, and
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Boundary Representation Modelling Techniquesre e.=1. The modified Dirac operator is introduced for . By ., where ′ is the main involution and . is given by the decomposition .. with ., . ∈.?.. A .+1-times continuously differentiable function f: Ω→.?., is called .-hypermonogenic in an open subsetΩof ., if ... = 0 outside the hyperplane .. = 0.
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