3 papers
math.CV2004
A floating body approach to Fefferman's hypersurface measure
David E. Barrett
The floating body approach to affine surface area is adapted to a holomorphic context providing an alternate approach to Fefferman's invariant hypersurface measure.
math.CV2004
The role of Fourier modes in extension theorems of Hartogs-Chirka type
David E. Barrett, Gautam Bharali
We generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denote…
math.CV2002
The Bergman kernel on the intersection of two balls in C^2
David E. Barrett, Sophia Vassiliadou
We obtain an asymptotic expansion and some regularity results for the Bergman kernel on the intersection of two balls in C^2.