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
Orcid iD: 0000-0001-8659-8864
Research Interests
I work in analysis, mainly in several complex variables, CR geometry and harmonic analysis and special function theory. I use integral operators like the Bergman projection, Szegö projection, the Leray transform and other Cauchy-Fantappiè integrals to relate holomorphic function theory to geometry. I am interested in the mapping properties of these operators (particularly in the presence of boundary singularities), along with the development of new operators with more refined properties.
CV (updated September 2024)
DOWNLOAD
File size: 196 kB
Preprints (submitted)
DOWNLOAD
File size: 646 kB
Preprints (accepted)
Publications
Showing entries 6 - 8 out of 8
Edholm LD, McNeal JD. Bergman Subspaces and Subkernels: Degenerate L-p Mapping and Zeroes. The Journal of Geometric Analysis. 2017 Oct;27(4):2658–2683. doi: 10.1007/s12220-017-9777-4
Edholm LD. Bergman theory of certain generalized Hartogs triangles. Pacific Journal of Mathematics. 2016 Oct;284(2):327-343. doi: 10.2140/pjm.2016.284.327
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. doi: 10.1090/proc/12878
Showing entries 6 - 8 out of 8