18 citations · 24 across the 4 of their papers we have counts for
5 papers
Arithmetic properties and zeros of the Bergman kernel on a class of quotient domains
Luke D. Edholm, Vikram T. Mathew
An effective formula for the Bergman kernel on is obtained for rational . The formula depends on arithmetic properties o…
Cauchy transforms and Szegő projections in dual Hardy spaces: inequalities and Möbius invariance
David E. Barrett, Luke D. Edholm
Dual pairs of interior and exterior Hardy spaces associated to a simple closed Lipschitz planar curve are considered, leading to a Möbius invariant function bounding the norm of th…
The Leray transform: distinguished measures, symmetries and polygamma inequalities
Luke D. Edholm, Yonatan Shelah
New symmetries, norm computations and spectral information are obtained for the Leray transform on a class of unbounded hypersurfaces in . Emphasis is placed on certa…
Duality and approximation of Bergman spaces
D. Chakrabarti, L. D. Edholm, J. D. McNeal
Expected duality and approximation properties are shown to fail on Bergman spaces of domains in , via examples. When the domain admits an operator satisfying certain…
The Leray transform: factorization, dual structures and model hypersurfaces in
D. E. Barrett, L. D. Edholm
We compute the exact norms of the Leray transforms for a family of unbounded hypersurfaces in two complex dimensions. The generalize the Heisenberg…