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UID:374jre0t8n0hsaabjn0t2ps9pe@google.com
CATEGORIES:{lang hu}Analízis szeminárium{/lang}{lang en}Analysis seminar{/lang}
SUMMARY:Martin Hallnäs (Chalmers University of Technology and University of Gothenburg): Exceptional orthogonal polynomials and quasi-invariance
LOCATION:Bolyai Intézet, II. emelet, Rédei terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. The focus of my talk will be on systems of polynomials given in t
erms of Wronskians of classical Hermite polynomials and naturally labelled
by partitions.\n\nFor the special class of so-called double partitions, Gom
ez-Ullate, Grandati and Milson showed that the corresponding polynomials ar
e orthogonal and dense in the space of all polynomials with respect to a ce
rtain inner product, but in contrast to their classical counterparts have s
ome degrees missing (so-called exceptional orthogonal polynomials). I will
describe how their results can be generalised to all partitions by using th
e notion of quasi-invariance and considering complex contours of integratio
n and non-positive, but Hermitian, inner products.\n\nIf time permits, I wi
ll also indicate a multivariate generalisation of some of these results. Th
e talk is based on joint work with W.A. Haese-Hill and A.P. Veselov.
DTSTAMP:20200919T021644Z
DTSTART;TZID=Europe/Budapest:20180508T100000
DTEND;TZID=Europe/Budapest:20180508T110000
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