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2 papers
math.DG2022★ 1 cited
A Conformal Mean Value Theorem for Solutions of the Ultrahyperbolic Equation
Guillem Cobos, Brendan Guilfoyle
Asgeirsson's theorem establishes a mean value property for solutions of the ultrahyperbolic equation. In the case of four variables, it states that the integrals of a solution over…
math.AP2020
An Extension of Asgeirsson's Mean Value Theorem for Solutions of the ultra-hyperbolic Equation in Dimension Four
Guillem Cobos, Brendan Guilfoyle
In 1937 Asgeirsson established a mean value property for solutions of the general ultra-hyperbolic equation in variables. In the case of four variables, it states that the int…