The classical Lagrange inversion theorem is a concrete , explicit form of the implicit function theorem for real analytic functions. The authors derive a suitable version of this result for C âˆžâ€¦ (More)

For n â‰¥ 2, we give a construction of a compact subset of R that is dispersed enough that it is purely unrectifiable, but that nonetheless has an orthogonal projection that hits every point of an (n âˆ’â€¦ (More)

Braza, Peter A. see Tong, Jingcheng, 2003c:26001 Dorogovtsev, A. Ya. The Lagrange theorem and differential equations. (Russian) (see 2003b:00020) Estep, Donald J. Practical analysis in one variable.â€¦ (More)

approved: Harold R. Parks This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We firstâ€¦ (More)

We give a complete description of a nonplanar minimal surface in R with the surprising property that the surface remains minimal after mapping by a linear transformation that dilates by threeâ€¦ (More)