Abstract:
In a recent article by V.V. Kapustin a de Branges space, whose element is an expression containing the Riemann xi function, was constructed; the canonical system with a diagonal Hamiltonian and the generalized Fourier transform corresponding to the space were found. In this article we present a similar de Branges space with some preferred modifications and we provide formulas related to it; we also write down the Hamiltonian and the generalized Fourier transform.
Keywords:de Branges space, Riemann xi function, canonical system with diagonal Hamiltonian, generalized Fourier transform.
Fulltext:
PDF file (233 kB)
The content is published under the terms of the Creative Commons Attribution 4.0 International License