Superdirectivity is the spectral-collision limit in RKHS where array gain equals the reproducing kernel diagonal and the M squared endfire law arises from endpoint asymptotics of the Christoffel-Darboux kernel, with Christoffel collapse at the hard edge M times faster than interior under flat L2 geo
Christoffel Functions for Multiple Orthogonal Polynomials
2 Pith papers cite this work. Polarity classification is still indexing.
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Explicit reduction formulas are derived expressing multiple orthogonal polynomials and their Christoffel-Darboux kernels in terms of standard orthogonal polynomials for real-line and unit-circle cases.
citing papers explorer
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Superdirectivity as a Spectral-Collision RKHS Limit
Superdirectivity is the spectral-collision limit in RKHS where array gain equals the reproducing kernel diagonal and the M squared endfire law arises from endpoint asymptotics of the Christoffel-Darboux kernel, with Christoffel collapse at the hard edge M times faster than interior under flat L2 geo
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Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials
Explicit reduction formulas are derived expressing multiple orthogonal polynomials and their Christoffel-Darboux kernels in terms of standard orthogonal polynomials for real-line and unit-circle cases.