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Titlebook: Approximation of Additive Convolution-Like Operators; Real C*-Algebra Appr Victor D. Didenko,Bernd Silbermann Book 2008 Birkhäuser Basel 20

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Hyperinsulinism in Infancy and Childhood,A complex algebra is an associative ring . which is also a complex vector space. It is assumed that vector space addition and ring addition coincide and that the operations of multiplication and multiplication by scalars satisfy the relation . for all . ∈ . and for all complex numbers ..
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P. Frick,G.-A. Harnack,A. Praderhat the function . is from the space . (.) ∪ . (.). The notation . (.) is used for the Sobolev space of .-times differentiable functions on ., the derivatives of which belong to the corresponding space .(.).
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P. Frick,G.-A. Harnack,A. Prader a chosen space of functions analytic inside a given domain . of the complex plane ℂ, whereas another contains an additional requirement that the corresponding solutions take real values at a fixed point of the domain .. Here, we deal with the second formulation because it arises more often in applications (cf. [162, Problem P]).
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