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Titlebook: New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative; Chapman University, Daniel Alpay,Ronen Peretz,Mihaela

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978-3-030-76475-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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The Wiener Algebra and Singular Integrals,Salem type conditions for trigonometric series are extended to functions from the Wiener algebra. While in the earlier one-dimensional generalization the conditions are given in terms of the Hilbert transform, for the multivariate setting all reasonable singular integrals are equally involved.
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Book 2021nction theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A secon
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Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Tytype algorithm consists of an appropriate synthesis of two different versions of types of algorithms, namely on the one side an algebraic one working for sequences of complex matrices and on the other side a function theoretic one applied to special classes of holomorphic matrix functions.
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