Orthogonal polynomials · Question 3
Stability, hyperbolicity, and zero localization of functions · Historical workshop question
Problem statement
Consider a subspace of of codimension (defined by linear constraints, explicitly given). Given a scalar product on , find an orthogonal basis of (ordered by degree); some degrees will be missing.
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Which degrees get skipped?
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Characterize these orthogonal polynomials.
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Does this have anything to do with lacunary Pad'e approximants?
Lean 4
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Background
Workshop introduction
A list of the problems from the workshop on stability, hyperbolicity, and zero localization of functions, held December 5-9, 2011, is presented below. The problems have been loosely categorized for convenience, although many of the problems could be listed under several different headings.
Progress & source assessment
Historical workshop record. Current open/solved status has not been independently reassessed.
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- [1]Stability, hyperbolicity, and zero localization of functions link
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