Ellis-Gohberg identities for certain orthogonal functions I: Block matrix generalizations and l^2 -setting

M.A. Kaashoek; F. van Schagen

doi:10.1016/j.indag.2012.05.005

Ellis-Gohberg identities for certain orthogonal functions I: Block matrix generalizations and l^2 -setting

M.A. Kaashoek, F. van Schagen

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Generalizations of identities for certain orthogonal functions due to Ellis-Gohberg (1992) and Ellis (2011) are presented. The matrix-valued version of the Ellis identity is derived, and a more general 2 × 2 block matrix version is obtained. The latter contains the (matrix-valued versions of the) Ellis-Gohberg and Ellis identities as sub-identities. Intertwining relations involving shifts are used systematically. This allows us to derive the results in an

Original language	English
Pages (from-to)	777-795
Journal	Indagationes Mathematicae
Volume	23
DOIs	https://doi.org/10.1016/j.indag.2012.05.005
Publication status	Published - 2012

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AU - Kaashoek, M.A.

AU - van Schagen, F.

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AB - Generalizations of identities for certain orthogonal functions due to Ellis-Gohberg (1992) and Ellis (2011) are presented. The matrix-valued version of the Ellis identity is derived, and a more general 2 × 2 block matrix version is obtained. The latter contains the (matrix-valued versions of the) Ellis-Gohberg and Ellis identities as sub-identities. Intertwining relations involving shifts are used systematically. This allows us to derive the results in an

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DO - 10.1016/j.indag.2012.05.005

M3 - Article

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SP - 777

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JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

ER -

Ellis-Gohberg identities for certain orthogonal functions I: Block matrix generalizations and l^2 -setting

Abstract

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