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Orthogonal Polynomials

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arxiv math/0512424 v1 pith:NXKQSLGE submitted 2005-12-18 math.CA

Orthogonal Polynomials

classification math.CA
keywords orthogonalpolynomialsaspectscirclecomplexdifferentdiscussedreal
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In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.

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  1. HiPPO Zoo: Explicit Memory Mechanisms for Interpretable State Space Models

    cs.LG 2026-02 conditional novelty 6.0

    HiPPO polynomial memory can realize modern SSM capabilities—selective retention, associative recall, multiscale representation, and forecast-driven memory geometry—as explicit, interpretable modifications.