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Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators

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Outgoing claims: the papers this work cites, builds on, or argues with.

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On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

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Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)

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Methods of Mathematical Physics

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THE ASYMPTOTIC DISTRIBUTION OF EIGENFUNCTIONS AND EIGENVALUES FOR SEMI-ELLIPTIC DIFFERENTIAL OPERATIONS

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Propriétés asymptotiques des valeurs propres des opérateurs elliptiques auto-adjoints

inferredcites →https://doi.org/10.2307/2314843openalex-snapshot

Lectures on Elliptic Boundary Value Problems.

inferredcites →https://doi.org/10.2307/2373230openalex-snapshot

Asymptotic Distribution of Eigenvalues and Eigenfunctions for Non-Local Elliptic Boundary Value Problems, I

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On the asymptotic distribution of the eigenvalues and eigenfunctions of elliptic differential operators

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On a type of eigenvalue problems for certain elliptic differential operators

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inferred← citeshttps://doi.org/10.1002/mana.19901450122openalex-snapshot

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inferred← citeshttps://doi.org/10.1002/mana.19931610125openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/978-3-0348-8545-4_34openalex-snapshot

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