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The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems
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Outgoing claims: the papers this work cites, builds on, or argues with.
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On the eigenvalues and eigenfunctions of elastic plates
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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An Extension of Landau's Theorem in the Analytical Theory of Numbers
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On the eigenvalues of the Laplacian in an unbounded domain
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Über die asymptotische Verteilung der Eigenwerte des Laplace-Operators für Gebiete auf der Kugeloberfläche
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�ber die Eigenwerte bei den Differentialgleichungen der mathematischen Physik
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Some estimates for spectral functions
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On the spectral theory of elliptic differential operators. I
inferredcites →https://doi.org/10.1007/bf01456804openalex-snapshot
Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)
inferredcites →https://doi.org/10.1007/bf01473886openalex-snapshot
Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten
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�ber die Schwingungen eingespannter Platten
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Restglied eines Tauberschen Satzes. III
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A study of certain Green's functions with applications in the theory of vibrating membranes
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On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators
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Das asymptotische verteilungsgesetz der eigenschwingungen eines beliebig gestalteten elastischen körpers
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Asymptotic behavior of the Green's function and spectral function of an elliptic operator
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Asymptotic representation of the spectral function of self-adjoint elliptic operators of the second order with variable coefficients
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Asymptotic representation of the spectral function of self-adjoint elliptic operators of the second order with variable coefficients. II
inferredcites →https://doi.org/10.1016/0022-247x(62)90052-5openalex-snapshot
Removal of the log factor in the asymptotic estimates of polygonal membrane eigenvalues
inferredcites →https://doi.org/10.1017/s0305004100028875openalex-snapshot
The eigenvalues of ∇2u + λu=0 when the boundary conditions are given on semi-infinite domains
inferredcites →https://doi.org/10.1063/1.1703636openalex-snapshot
Integration in Functional Spaces and its Applications in Quantum Physics
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Feynman Integrals and the Schrödinger Equation
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THE ASYMPTOTIC DISTRIBUTION OF EIGENFUNCTIONS AND EIGENVALUES FOR SEMI-ELLIPTIC DIFFERENTIAL OPERATIONS
inferredcites →https://doi.org/10.1080/00029890.1966.11970915openalex-snapshot
Can One Hear the Shape of a Drum?
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Lectures on Elliptic Boundary Value Problems
inferredcites →https://doi.org/10.1090/s0002-9904-1950-09369-0openalex-snapshot
Ramifications, old and new, of the eigenvalue problem
inferredcites →https://doi.org/10.1090/s0002-9904-1966-11562-8openalex-snapshot
On eigenvalue distributions for elliptic operators without smooth coefficients
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An asymptotic formula for the eigenvalues of the Laplacian operator in an unbounded domain
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On eigenvalue distributions for elliptic operators without smooth coefficients. II
inferredcites →https://doi.org/10.1090/s0002-9939-1967-0213757-0openalex-snapshot
One can hear whether a drum has finite area
inferredcites →https://doi.org/10.1090/s0002-9947-1954-0066539-2openalex-snapshot
On Spectra of Second-Order Differential Operators
inferredcites →https://doi.org/10.1090/s0002-9947-1965-0186926-9openalex-snapshot
The Wiener integral and the Schrödinger operator
inferredcites →https://doi.org/10.1090/s0002-9947-1966-0198016-0openalex-snapshot
Asymptotic Distribution of Eigenvalues and Eigenfunctions for General Linear Elliptic Boundary Value Problems
inferredcites →https://doi.org/10.1090/trans2/020/01openalex-snapshot
On the asymptotic behavior of the spectral function and expansion in eigenfunctions of the equation Δ𝑢+{𝜆-𝑞(𝑥₁,𝑥₂,𝑥₃)}𝑢=0
inferredcites →https://doi.org/10.1093/qmath/14.1.205openalex-snapshot
EIGENVALUES IN PROBLEMS WITH SPHERICAL SYMMETRY AND AN ASSOCIATED INTEGRAL
inferredcites →https://doi.org/10.1093/qmath/15.1.251openalex-snapshot
THE DISTRIBUTION OF THE EIGENVALUES IN CERTAIN EIGENVALUE PROBLEMS
inferredcites →https://doi.org/10.1098/rspa.1950.0039openalex-snapshot
On the asymptotic distribution of eigenvalues
inferredcites →https://doi.org/10.1098/rspa.1958.0073openalex-snapshot
On the eigenvalues in problems with spherical symmetry
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On the eigenvalues in problems with spherical symmetry. II
inferredcites →https://doi.org/10.1098/rspa.1959.0164openalex-snapshot
On the eigenvalues in problems with spherical symmetry. Ill
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Notes on the Theory of Series (XI): On Tauberian Theorems
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The Distribution of the Eigenvalues for the Hydrogen Atom and Similar Cases
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Asymptotic Behavior of the Spectral Matrix of the Operator of Elasticity
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The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems
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Sur les propriétés asymptotiques des valuers propres pour les opérateurs elliptiques
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Propriétés asymptotiques des valeurs propres des opérateurs elliptiques auto-adjoints
inferredcites →https://doi.org/10.1512/iumj.1957.6.56006openalex-snapshot
Extended Asymptotic Eigenvalue Distributions for Bounded Domains in n-Space
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Über die Abhängigkeit der Eigenschwingungen einer Membran und deren Begrenzung.
inferredcites →https://doi.org/10.1515/crll.1912.141.163openalex-snapshot
Über das Spektrum der Hohlraumstrahlung.
inferredcites →https://doi.org/10.1515/crll.1913.143.177openalex-snapshot
Über die Randwertaufgabe der Strahlungstheorie und asymptotische Spektralgesetze.
inferredcites →https://doi.org/10.1515/crll.1931.164.27openalex-snapshot
Neuer Beweis und Verallgemeinerung der Tauberschen Sätze, welche die Laplacesche und Stieltjessche Transformation betreffen.
inferredcites →https://doi.org/10.1525/9780520411586-016openalex-snapshot
On Some Connections between Probability Theory and Differential and Integral Equations
inferredcites →https://doi.org/10.2140/pjm.1955.5.483openalex-snapshot
An extension of Weyl’s asymptotic law for eigenvalues
inferredcites →https://doi.org/10.2307/1969725openalex-snapshot
Zeta Functions and Green's Functions for Linear Partial Differential Operators of Elliptic Type with Constant Coefficients
inferredcites →https://doi.org/10.2307/2314843openalex-snapshot
Lectures on Elliptic Boundary Value Problems.
inferredcites →https://doi.org/10.2307/2372218openalex-snapshot
Asymptotic Relations for the Eigenfunctions of Certain Boundary Problems of Polar Type
inferredcites →https://doi.org/10.2307/2373230openalex-snapshot
Asymptotic Distribution of Eigenvalues and Eigenfunctions for Non-Local Elliptic Boundary Value Problems, I
inferredcites →https://doi.org/10.2307/2373417openalex-snapshot
Classes of Compact Operators and Eigenvalue Distributions for Elliptic Operators
inferredcites →https://doi.org/10.24033/bsmf.1584openalex-snapshot
Regularity theorems for fractional powers of a linear elliptic operator
inferredcites →https://doi.org/10.4153/cjm-1949-021-5openalex-snapshot
Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
inferredcites →https://doi.org/10.4153/cjm-1949-029-3openalex-snapshot
A Generalization of Epstein Zeta Functions
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Curvature and the eigenvalues of the Laplacian
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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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Some Estimates for Eigenfunction Expansions and Spectral Functions Corresponding to Elliptic Differential Operators.
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Remark on Eigenfunction Expansions for Elliptic Operators with Constant Coefficients.
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