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math.CA2026
Extremal Functions and Widom Factors on Compact Riemann Surfaces
Sampad Lahiry
We study the Chebyshev extremal problem on a compact Riemann surface of genus . As an analog to monic polynomials, we consider admissible meromorphic functions having no p…
math.CA2026
Matrix Szegő Function and Matrix Orthogonal Polynomials for Multiple Cuts
Sampad Lahiry
Following recent developments on matrix-valued orthogonal polynomials (MVOPs), we construct the matrix Szegő factorisation of the matrix weight function when it is supported on mul…