The retrieved literature supports the view that the rigged Hilbert space serves as a mathematically rigorous foundation for quantum mechanics, particularly by accommodating generalized eigenvectors and resolving limitations in standard Hilbert space formulations.
The claim asserts that the rigged Hilbert space is considered the correct mathematical structure for quantum mechanics. Multiple retrieved papers describe the rigged Hilbert space as providing a mathematically rigorous foundation that extends standard formulations and solves problems regarding resonances and decaying states. None of the provided papers refute this view, leading to a verdict of SUPPORTED.