Nachman Aronszajn

1907

• Introduction to the theory of Hilbert spaces
• Polyharmonic functions
• Algebraic spectral problems
• Construction of the solutions of boundary value problems for the biharmonic operator in a rectangle
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Finite dimensional perturbations of spectral problems and variational approximation methods for eigenvalue problems
• Functional spaces and functional completion
• Interpolation spaces and interpolation methods
• On spaces of potentials connected with Lp̲ classes
• Sur les decompositions des fonctions analytiques uniformes et sur leurs applications
• The Rayleigh-Ritz and the Weinstein methods for approximation of eigenvalues
• Theory of Bessel Potentials