�ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen

1910/06/01 by Hermann Weyl · 852 citations
Engineering · Mathematics · #Humanities #Mathematics #Numerical methods for differential equations #Philosophy #Physics and Engineering Research Articles

paper · doi:10.1007/bf01474161

published in Mathematische Annalen 68(2), 220-269 (Springer Nature)

openalex publication_date 1910/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Cited by

• Quantum singularities in conformally static spacetimes
• Weyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
• New proof of Weyl's theorem
• Asymptotics of the eigenvalues and Abel basis property of the root functions of new type Sturm-Liouville problems
• Estimating Spectral Density Functions for Sturm-Liouville problems with\n two singular endpoints
• The spectrum of Dirichlet-to-Neumann maps for radial conductivities
• Analytic Poisson brackets on rational functions on the Riemann sphere and their generalization
• Perturbation determinants and trace formulas for singular perturbations
• A new approach to inverse Sturm-Liouville problems based on point interaction II. The singular case
• Analytic continuation and resonance-free regions for Sturm-Liouville pote ntials with power decay
• Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix
• On the decomposition principle and a Persson type theorem for general regular Dirichlet forms
• Virtual levels and virtual states of linear operators in Banach spaces.\n Applications to Schroedinger operators
• On Sesquilinear Forms for Lower Semibounded (Singular) Sturm-Liouville Operators
• The asymptotical behavior of spectral function of one family of differential operators
• Gauge fields in the presence of the electroweak bubble wall
• Polynomial stability of piezoelectric beams with magnetic effect and tip body
• An Addendum to Krein's Formula
• Left-Definite Variations of the Classical Fourier Expansion Theorem, Part II
• On a New Algorithm for the Computation of Enclosures for the Titchmarsh-Weyl m-Function
• Spectral analysis of semigroups and growth-fragmentation equations
• Existence and spectral stability analysis of viscous-dispersive shock profiles for isentropic compressible fluids of Korteweg type
• Limit behaviour of Weyl coefficients
• On a general solution of the one-dimensional stationary Schrodinger equation
• Scattering on the line via singular approximation
• Asymptotic error in the eigenfunction expansion for the Green's function of a Sturm-Liouville problem
• Spectral stability of traveling fronts for nonlinear hyperbolic equations of bistable type
• Eigenvalue problems, spectral parameter power series, and modern applications
• Density of Schrödinger Weyl-Titchmarsh m functions on Herglotz functions
• Existence theorem on spectral function for singular nonsymmetric first order differential operators
• Weyl-von Neumann Theorem and Borel Complexity of Unitary Equivalence Modulo Compacts of Self-Adjoint Operators
• On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
• Titchmarsh-Weyl theory for vector valued Schrodinger operators
• Simple soluble molecular ionization model
• Optimal covariant measurement of momentum on a half line in quantum mechanics
• Quantisierung als Eigenwertproblem
• Quantum healing of classical singularities in power-law spacetimes
• Quantisierung als Eigenwertproblem
• Ramifications, old and new, of the eigenvalue problem
• Hermann Weyl, 1885-1955
• Minimal representations of unitary operators and orthogonal polynomials on the unit circle
• Three Notes on the Quantum Theory of Aperiodic Effects
• Classical and quantum analysis of an Einstein-Scalar solution in 2 + 1 dimensions
• The Atiyah–Hitchin bracket and the open Toda lattice
• Hadamard states for a scalar field in anti–de Sitter spacetime with arbitrary boundary conditions
• Perspectives on General Left-Definite Theory
• Quantum time
• Revisited version of Weyl’s limit-point limit-circle criterion for essential self-adjointness
• An Analytic Expression for the Distribution of the Generalized Shiryaev–Roberts Diffusion
• Equations of Camassa‐Holm type and Jacobi ellipsoidal coordinates
• Spectral theory of ordinary differential equations [wikipedia]