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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Mercer's Theorem: uniform $L_\infty$ bound on eigenfunctions?

I recently came across a statement of Mercer's theorem in Hermann Koenig's book: Eigenvalue distribution of compact operators. It is interesting that in addition to the usual statement of Mercer's the …
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