UM
On Determinant Expansions for Hankel Operators
Blower,Gordon1; Chen,Yang2
2020
Source PublicationConcrete Operators
Volume7Issue:1Pages:13-44
AbstractLet w be a semiclassical weight that is generic in Magnus's sense, and (pn)n=0∞ ({p-n})-{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel-Darboux kernel as a sum of products of Hankel integral operators. For ψ ∈ L (iâ.,?), let W(ψ) be the Wiener-Hopf operator with symbol ψ. We give sufficient conditions on ψ such that 1/det W(ψ) W(ψ) = det(I-Γ Γ ) where Γ and Γ are Hankel operators that are Hilbert-Schmidt. For certain, ψ Barnes's integral leads to an expansion of this determinant in terms of the generalised hypergeometric F. These results extend those of Basor and Chen [2], who obtained F likewise. We include examples where the Wiener-Hopf factors are found explicitly.
Keywordlinear systems orthogonal polynomials special functions Wiener-Hopf
DOI10.1515/conop-2020-0002
URLView the original
Language英语
Fulltext Access
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorBlower,Gordon
Affiliation1.Department of Mathematics and Statistics,Lancaster University,Lancaster,LA14YF,United Kingdom
2.Department of Mathematics,University of Macau,Avenida da Universidade,Taipa,Macao
Recommended Citation
GB/T 7714
Blower,Gordon,Chen,Yang. On Determinant Expansions for Hankel Operators[J]. Concrete Operators,2020,7(1):13-44.
APA Blower,Gordon,&Chen,Yang.(2020).On Determinant Expansions for Hankel Operators.Concrete Operators,7(1),13-44.
MLA Blower,Gordon,et al."On Determinant Expansions for Hankel Operators".Concrete Operators 7.1(2020):13-44.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Blower,Gordon]'s Articles
[Chen,Yang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Blower,Gordon]'s Articles
[Chen,Yang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Blower,Gordon]'s Articles
[Chen,Yang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.