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math.CV2017★ 3 cited
The wedge-of-the-edge theorem: edge-of-the-wedge type phenomenon within the common real boundary
J. E. Pascoe
The edge-of-the-wedge theorem in several complex variables gives the analytic continuation of functions defined on the poly upper half plane and the poly lower half plane, the set…
math.OA2017
The noncommutative Löwner theorem for matrix monotone functions over operator systems
J. E. Pascoe
Given a function Löwner's theorem states is monotone when extended to self-adjoint matrices via the functional calculus, if and only if e…
math.FA2017
Positivstellensatzë for noncommutative rational expressions
J. E. Pascoe
We derive some Positivstellensatzë for noncommutative rational expressions from the Positivstellensatzë for noncommutative polynomials. Specifically, we show that if a noncommutati…