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- Kate Okikiolu
- 1992

- Kate Okikiolu
- 2001

Let M be a closed compact n-dimensional manifold with n odd. We calculate the first and second variations of the zeta-regularized determinants det^\prime\Lambda and det L as the metric on M varies,… (More)

- Kate Okikiolu
- 1995

- Kate Okikiolu
- 2008

Let M be a closed surface. For a metric g on M, denote the area element by dA and the Laplace-Beltrami operator by Δ = Δg. We define the Robin mass m(p) at the point$${{p \in\, M}}$$ to be the value… (More)

- Kate Okikiolu
- 1996

This theorem was first proved by G. Szego [3] for positive functions f in the class C with α > 0. Conditions on f were relaxed by several people (see, for example, [7] and [4]), until the sharp… (More)

- Kate Okikiolu
- 2008

Abstract. Let M be a closed, compact surface and let Γ be a conformal class of metrics on M with each metric normalized to have area V . For a metric g ∈ Γ, denote the area element by dV and the… (More)

- Kate Okikiolu
- 1995

- Kate Okikiolu
- 2009

Let M be a closed surface. For a metric g on M, denote the Laplace-Beltrami operator by Δ = Δg. We define trace $${\Delta^{-1} = \int_M m(p)dA}$$ , where dA is the area element for g and m(p) is the… (More)

Control means for controlling the ballast box of a ballast regulator used for positioning or "regulating" ballast on the shoulder of a railroad track, wherein the box is mounted for universal… (More)