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Emmanuel P. Smyrnelis

Publications and source records attributed to Emmanuel P. Smyrnelis.

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Binormal measures

Our starting point is the measure $ε_x-α_xρ_x^{ω_1}+β_xρ_x^{ω_2}$, where $ρ_x^{ω_i}$ is the harmonic measure relative to $x \in ω_1 \subset \overlineω_1 \subset ω_2$ and $ω_i$ are concentric balls of $\R^n$; $α_x$, $β_x$ are functions depending on $x$ and on the radii of $ω_i$, $(i=1,2)$. Generalizing the above measure, we introduce and study the binormal measures as well as their relation to biharmonic functions.

math.AP↗