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Titlebook: Quadrature Domains and Their Applications; The Harold S. Shapir Peter Ebenfelt,Björn Gustafsson,Mihai Putinar Conference proceedings 2005 B

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Subharmonicity of Higher Dimensional Exponential Transforms,Our main result states that the function (1 − .is subharmonic, where 0 ≤ . ≤ 1 is a density function in ℝ., . ≥ 3, and ., is the exponential transform of ρ. This answers in affirmative the recent question posed by B. Gustafsson and M. Putinar in [6].
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Quadrature Domains and Brownian Motion (A Heuristic Approach),nderlying measure ., can be represented as the set of points ., for which the expectation value (average reward) . is positive for some (bounded) stopping time θ. Here . denotes the Brownian motion starting at the point ., and . denotes the expectation with respect to the underlying probability measure ..
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https://doi.org/10.1007/b137105Operatortheorie; Potential; Spektraltheorie; calculus; differential equation; extrema; numerische Analysis
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Quadrature Domains and Fluid Dynamics,terested in quadrature domain theory would profess to know much about fluid dynamics. And yet, recent research has shown that a surprisingly large number of the by-now classic exact solutions of two-dimensional fluid dynamics can be understood within the context of quadrature domain theory. This art
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Quadrature Domains and Brownian Motion (A Heuristic Approach),nderlying measure ., can be represented as the set of points ., for which the expectation value (average reward) . is positive for some (bounded) stopping time θ. Here . denotes the Brownian motion starting at the point ., and . denotes the expectation with respect to the underlying probability meas
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The Bergman Kernel and Quadrature Domains in the Plane, other well known facts about quadrature domains will fall out along the way. Finally, Bergman representative coordinates will be defined that make subtle alterations to a domain to convert it to a quadrature domain. In such coordinates, biholomorphic mappings become algebraic.
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