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Titlebook: Application of Holomorphic Functions in Two and Higher Dimensions; Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig Book 2016 Springer Inter

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https://doi.org/10.1007/3-540-32873-4In the classical two-dimensional Vekua theory the so-called .-operator plays an essential role. This operator is nothing else than a two-dimensional weakly singular integral operator over a domain in the complex plane, which is a right inverse to the Cauchy–Riemann operator.
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Uterine Environment in Early PregnancyIn 1812 D. Poisson discovered that for many applied problems the Laplace equation is only valid outside the relevant domain .. In the journal . he published one year later the first paper on an equation of the type . which now bears his name.
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Basic properties of holomorphic functions,Within this book we shall use the well-known complex numbers in the plane, the quaternions in three and four dimensions, and Clifford numbers in higher dimensions. The definition for real Clifford numbers can be seen as a basis for quaternions and complex numbers.
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Conformal and quasi-conformal mappings,In this short section we shall introduce a class of mappings in . named after the German mathematician AUGUST FERDINAND MÖBIUS (1790–1868). In . this is also possible, but it is a bit more difficult, the reader is referred to our book [118].
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Operator calculus,In the classical two-dimensional Vekua theory the so-called .-operator plays an essential role. This operator is nothing else than a two-dimensional weakly singular integral operator over a domain in the complex plane, which is a right inverse to the Cauchy–Riemann operator.
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Historical Perspectiverde, wer wessen Verhalten kontrollieren durfte; wir kennen auch wohlgesonnene Autokratien, patriarchalische Organisationen und egalitäre, in welchen die Macht gleichmäßig unter den Mitgliedern verteilt ist und deren Autorität auf einer rational-legalen Basis fußt. Einen einzig gültigen Weg für das M
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