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arxiv: 1308.4364 · v1 · pith:PQOZKONJnew · submitted 2013-08-20 · 🧮 math.CA · math.NA

A note on the Geronimus transformation and Sobolev orthogonal polynomials

classification 🧮 math.CA math.NA
keywords geronimusnoteorthogonalpolynomialssobolevtransformationbilineardouble
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In this note we recast the Geronimus transformation in the framework of polynomials orthogonal with respect to symmetric bilinear forms. We also show that the double Geronimus transformations lead to non-diagonal Sobolev type inner products.

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