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Titlebook: Hyponormal Quantization of Planar Domains; Exponential Transfor Björn Gustafsson,Mihai Putinar Book 2017 Springer International Publishing

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楼主: Conjecture
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Finite Central Truncations of Linear Operators,l polynomials, we prove that the exponential orthogonal polynomials satisfy a three term relation only in the case of an ellipse. Some general perturbation theory arguments are collected in the last section.
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Mother Bodies,to the Cauchy problem for an elliptic operator) very few domains admit mother bodies, but for domains with piecewise algebraic boundaries there is a rather constructive and efficient theory, bearing in mind that the same class of domains is also amenable for studying zeros of orthogonal polynomials.
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The Exponential Transform,as being (part of) the unique holomorphic section of a certain line bundle over the Riemann sphere taking a prescribed value at infinity, or alternatively as being the unique solution of a corresponding Riemann-Hilbert problem.
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Book 2017hed...The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximationtheory, mathematical physics..
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Björn Gustafsson,Mihai PutinarA self-contained exposition of the concept of "mother body" in potential theory.Intriguing numerical experiments lacking theoretical explanation.A new class of complex polynomials orthogonal with resp
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