Luke Edholm

Personal Information

Email：luke.david.edholm@univie.ac.at

Office：06.136

Phone：+43 1 4277 9803269

Address：Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria

Research Interests

I work in analysis, mainly in several complex variables, harmonic analysis and CR geometry. I am particularly interested in using integral operators such as the Bergman projection, Szegö projection and various Cauchy-Fantappiè integrals as tools to relate holomorphic function theory to geometry. Much of my research involves the study of properties of these operators, along with the development of new operators with more refined properties.

Preprints (Accepted)

Barrett, D.E.; Edholm, L.E. High frequency behavior of the Leray transform: model hypersurfaces and projective duality, (to appear) Indiana Univ. Math. J., 54 pp.

2022 BarEdh IUMJ finalpreprint.pdf

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Publications

Edholm LD. Bergman theory of certain generalized Hartogs triangles. Pacific Journal of Mathematics. 2016 Oct;284(2):327-343. https://doi.org/10.2140/pjm.2016.284.327

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Edholm LD, McNeal JD. THE BERGMAN PROJECTION ON FAT HARTOGS TRIANGLES: L-p BOUNDEDNESS. Proceedings of the American Mathematical Society. 2016 May;144(5):2185-2196. https://doi.org/10.1090/proc/12878

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