5 papers
Half line Titchmarsh-Weyl functions of vector-valued discrete Schrodinger operators
Keshav Raj Acharya, Matt McBride
We show that the half-line functions associated with the vector-valued Schrodinger operators are the elements in the Siegel upper half space. We introduce a metric on the space…
2N-Dimensional Canonical Systems and Applications
Keshav Raj Acharya, Andrei Ludu
We study the 2N-dimensional canonical systems and discuss some properties of its fundamental solution. We then discuss the Floquet theory of periodic canonical systems and observe…
Action of complex Symplectic matrices on the Siegel upper half space
Keshav Raj Acharya, Matt McBride
The Siegel upper half space, , the space of complex symmetric matrices, with positive definite imaginary part, is the generalization of the complex upper half pl…
Titchmarsh-Weyl theory for vector valued Schrodinger operators
Keshav Acharya
We develop the Titchmarsh-Weyl theory for vector-valued discrete Schrödinger operators and show that the Weyl functions associated with these operators map complex upper half p…
Remling's Theorem on canonical systems
Keshav Raj Acharya
We prove the Remling's Theorem on canonical systems and discuss the connection between Jacobi and Schrödinger equation and canonical systems.