2,152 research outputs found
A Study of Characteristics and Achievement of Transfer Students Admitted to Eastern Illinois University
A Study of Characteristics and Achievement of Transfer Students Admitted to Eastern Illinois University
Bergman kernel and complex singularity exponent
We give a precise estimate of the Bergman kernel for the model domain defined
by where
is a holomorphic map from to ,
in terms of the complex singularity exponent of .Comment: to appear in Science in China, a special issue dedicated to Professor
Zhong Tongde's 80th birthda
On the growth of the Bergman kernel near an infinite-type point
We study diagonal estimates for the Bergman kernels of certain model domains
in near boundary points that are of infinite type. To do so, we
need a mild structural condition on the defining functions of interest that
facilitates optimal upper and lower bounds. This is a mild condition; unlike
earlier studies of this sort, we are able to make estimates for non-convex
pseudoconvex domains as well. This condition quantifies, in some sense, how
flat a domain is at an infinite-type boundary point. In this scheme of
quantification, the model domains considered below range -- roughly speaking --
from being ``mildly infinite-type'' to very flat at the infinite-type points.Comment: Significant revisions made; simpler estimates; very mild
strengthening of the hypotheses on Theorem 1.2 to get much stronger
conclusions than in ver.1. To appear in Math. An
An Integral Kernel for Weakly Pseudoconvex Domains
A new explicit construction of Cauchy-Fantappi\'e kernels is introduced for
an arbitrary weakly pseudoconvex domain with smooth boundary. While not
holomorphic in the parameter, the new kernel reflects the complex geometry and
the Levi form of the boundary. Some estimates are obtained for the
corresponding integral operator, which provide evidence that this kernel and
related constructions give useful new tools for complex analysis on this
general class of domains
Pluripolarity of Graphs of Denjoy Quasianalytic Functions of Several Variables
In this paper we prove pluripolarity of graphs of Denjoy quasianalytic
functions of several variables on the spanning se
The calculation of certain static aeroelastic phenomena of wings with tip tanks or boom-mounted lifting surfaces
Effect of spanwise variations in gust intensity on the lift due to atmospheric turbulence
The effect of spanwise variations in gust intensity on the power spectrum directly due to atmospheric turbulence is calculated for several analytic approximations to the correlation function or power spectra of atmospheric turbulence, for several spanwise weighing functions (span loadings), and for various angles of sweepback
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