Representation of the trilinear form associated with orthogonal matrix polynomialsПредставление трилинейных форм, ассоциированных с ортогональными матричными полиномами
A representation of the reproducing trilinear kernel associated with orthogonal matrix polynomials is obtained. With the aid of the reproducing kernel we introduce the Generalized Translation Operator Ty for orthogonal matrix polynomials and establish norm inequalities for Ty.
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UNIV LILLE 1,ANAL NUMER & OPTIMISAT LAB,UFR,IEEA M3,F-59655 VILLENEUVE DASCQ,FRANCEUNIV LILLE 1,ANAL NUMER & OPTIMISAT LAB,UFR,IEEA M3,F-59655 VILLENEUVE DASCQ,FRANCE
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Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, PortugalInst Politecn Leiria, Escola Super Tecnol & Gestao, Dept Matemat, P-2411901 Leiria, Portugal
Branquinho, A.
Marcellan, E.
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Univ Carlos III Madrid, Dept Matemat, Escuela Politecn Super, Leganes 28911, SpainInst Politecn Leiria, Escola Super Tecnol & Gestao, Dept Matemat, P-2411901 Leiria, Portugal
Marcellan, E.
Mendes, A.
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Inst Politecn Leiria, Escola Super Tecnol & Gestao, Dept Matemat, P-2411901 Leiria, PortugalInst Politecn Leiria, Escola Super Tecnol & Gestao, Dept Matemat, P-2411901 Leiria, Portugal
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Univ Lille, Lab Painlev, UMR AN EDP 8524, UFR Math M3, F-59655 Villeneuve Dascq, FranceUniv Lille, Lab Painlev, UMR AN EDP 8524, UFR Math M3, F-59655 Villeneuve Dascq, France
Beckermann, Bernhard
Stylianopoulos, Nikos
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Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, CyprusUniv Lille, Lab Painlev, UMR AN EDP 8524, UFR Math M3, F-59655 Villeneuve Dascq, France