5 citations · 16 across the 10 of their papers we have counts for
12 papers
High frequency behavior of the Leray transform: model hypersurfaces and projective duality
David E. Barrett, Luke D. Edholm
The Leray transform is studied on a family of unbounded hypersurfaces in two complex dimensions. For a large class of measures, we obtain necessary and sufficient co…
Sums of CR and projective dual CR functions
David E. Barrett, Dusty E. Grundmeier
A smooth, strongly -convex, real hypersurface in admits a projective dual CR structure in addition to the standard CR structure. Given a smooth func…
Projective-umbilic points of circular real hypersurfaces in
David E. Barrett, Dusty E. Grundmeier
We show that the boundary of any bounded strongly pseudoconvex complete circular domain in must contain points that are exceptionally tangent to a projective image of…
Sums of CR functions from competing CR structures
David E. Barrett, Dusty E. Grundmeier
In this paper we characterize sums of CR functions from competing CR structures in two scenarios. In one scenario the structures are conjugate and we are adding to the theory of pl…
Regularity of projection operators attached to worm domains
David Barrett, Dariush Ehsani, Marco Peloso
We construct a projection operator on an unbounded worm domain which maps subspaces of to themselves. The subspaces are determined by a Fourier decomposition of accordi…
Remarks on variational problems for Fefferman's measure
David E. Barrett, Christopher Hammond
We investigate the Plateau and isoperimetric problems associated to Fefferman's measure for strongly pseudoconvex real hypersurfaces in (focusing on the case ),…