Persistence barcodes and Laplace eigenfunctions on surfaces

Iosif Polterovich , Leonid Polterovich , Vuka\v{s}in Stojisavljevi\'c

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classification 🧮 math.SP math.APmath.AT

keywords eigenfunctionsbarcodescombinationslaplacelinearpersistencesurfacesapplications

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We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics. Some applications to uniform approximation by linear combinations of Laplace eigenfunctions are also discussed.

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Persistence barcodes and Laplace eigenfunctions on surfaces

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