3 papers
math.CV2026
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 propertie…
math.CV2024
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…
math.CV2024
Cauchy transforms and SzegŠprojections 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 t…