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Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis,a special theme in Operator Theory on the one hand and Numerical Linear Algebra as a special theme in Numerical Analysis on the other hand. Two particular topics are studied in detail. First, the theory of polar decompositions in indefinite inner product spaces is reviewed, and the connection betwee
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Fueter Mapping Theorem in Hypercomplex Analysis,r since the theorem was proved in 1935, it underwent several main generalizations. Those are not only based on its own interest, but also motivated by applications found in other areas of mathematics, such as functional calculus of operators. This article serves as a survey on Fueter’s Theorem, its
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