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- W2070733754 abstract "Given a positive definite matrix measure Ω supported on the unit circleT, then main purpose of this paper is to study the asymptotic behavior of $$L_R left( {tilde Omega } right)L_R left( Omega right)^{ - 1} $$ and $$Phi _R left( {z;tilde Omega } right)Phi _R left( {z;tilde Omega } right)^{ - 1} $$ where $$tilde Omega left( z right) = Omega left( z right) + $$ M $$tilde Omega left( z right) = Omega left( z right) + $$ M is a positive definite matrix and δ is the Dirac matrix measure. Here, Ln(·) means the leading coefficient of the orthonormal matrix polynomials Φn(z; •). Finally, we deduce the asymptotic behavior of $$Phi _n left( {w;tilde Omega } right)Phi _n left( {w;tilde Omega } right)$$ in the case whenM=I." @default.
- W2070733754 created "2016-06-24" @default.
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- W2070733754 date "2002-12-01" @default.
- W2070733754 modified "2023-09-24" @default.
- W2070733754 title "Relative asymptotics for orthogonal matrix polynomials with respect to a perturbed matrix measure on the unit circle" @default.
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- W2070733754 doi "https://doi.org/10.1007/bf02845271" @default.
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