The main result of the paper is the theorem giving a sufficient condition for the existence of a bounded analytic projection onto a holomorphic family of (generally infinite-dimensional) subspaces (a holomorphic sub-bundle of a trivial bundle). This sufficient condition is also necessary in the case of finite dimension or codimension of the bundle. A simple lemma of N. Nikolski connects the exi...

We use a restriction theorem for Fourier transforms of fractal measures to study projections onto families of planes in R whose normal directions form nondegenerate curves.

The general objective of this study was to reexamine two views of creativity, one positing that there is a general creative capacity or talent and the other that creativity is domain-specific. These two views were compared by (a) testing correlations among measures of domain-general and domain-specific creativity and (b) examining how the general and the specific measures was each related to in...

We consider propagating, spatially localized waves in a class of equations that contain variational and nonvariational terms. The dynamics of the waves is analyzed through a collective coordinate approach. Motivated by the variational approximation, we show that there is a natural choice of projection onto collective variables for reducing the governing (nonlinear) partial differential equation...

This paper proposes and estimates a static non-parametric transferable utility model of the marriage market. The model rationalizes the standard interpretation of marriage rate regressions as well as pointing out its limitations. The model was used to estimate US marital behavior in 1971/72 and 1981/82. The estimates show that the gains to marriage for young adults fell substantially over the d...