Inverse relations and Schauder bases

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:97

Article

Huang, IC

关键词: combinatorial identity;    inverse relation;    Lagrange inversion formula;    local duality;    power series ring;    residue;    Riordan array;    Riordan group;    Schauder basis;   

DOI  :  10.1006/jcta.2001.3207

来源: Elsevier

【 摘 要 】

The concept of inter-changes of Schauder bases is used to interpret inverse relations for sequences. For a given power series, the interplay between different representations by Schauder bases can result in combinatorial identities, new or known. Local cohomology residues and local duality are used for computations. The viewpoint of Riordan arrays is examined using Schauder bases. (C) 2001 Elsevier Science.

【 授权许可】

Free