Polyanalytic Bergman Kernels
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
The thesis consists of three articles concerning reproducing kernels ofweighted spaces of polyanalytic functions on the complex plane. In the ﬁrst paper, we study spaces of polyanalytic polynomials equipped with a Gaussianweight. In the remaining two papers, more general weight functions are considered. More precisely, we provide two methods to compute asymptotic expansions for the kernels near the diagonal and then apply the techniques to get estimates for reproducing kernels of polyanalytic polynomial spaces equipped with rather general weight functions.
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. , vii, 25 p.
Trita-MAT. MA, ISSN 1401-2278 ; 2013:02
Polyanalytic function, determinantal point process, Bergman kernel
IdentifiersURN: urn:nbn:se:kth:diva-122073OAI: oai:DiVA.org:kth-122073DiVA: diva2:620524
2013-05-28, F3, Lindstedtsvägen 26, KTH, Stockholm, 13:00 (English)
Ortega Cerdà, Joaquim, Professor
Hedenmalm, Håkan, Professor
QC 201305132013-05-132013-05-082013-05-13Bibliographically approved
List of papers