Diagonalizability and symmetrizability of Sobolev-type bilinear forms: A combinatorial approach

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In an earlier paper, Kwon, Littlejohn and Yoon characterized symmetric Sobolev bilinear forms and showed that they have, like symmetric matrices, a diagonal representation. In this paper, we present a new proof of one of their main results by interpreting the coefficients in the diagonal representation of a Sobolev-type bilinear form from a combinatorial point of view. We view this as an improvement over the original proof which relied on mathematical induction.
Publisher
ELSEVIER SCIENCE INC
Issue Date
2014-11
Language
English
Article Type
Article
Keywords

MOMENT PROBLEM; ORTHOGONAL POLYNOMIALS

Citation

LINEAR ALGEBRA AND ITS APPLICATIONS, v.460, pp.111 - 124

ISSN
0024-3795
DOI
10.1016/j.laa.2014.07.037
URI
http://hdl.handle.net/10203/192753
Appears in Collection
MA-Journal Papers(저널논문)
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