1 citations · 1 across the 10 of their papers we have counts for
12 papers
H-integrable solutions to 2d dimensional canonical systems
Keshav Raj Acharya
In this paper we study -dimensional canonical systems with positive semidefinite Hamiltonians satisfying . We first establish that every…
Adaptive Filtering via Canonical Systems with Time-Varying Hamiltonians
Keshav Raj Acharya, Pitambar Acharya
In many practical applications, signals and environments are time- varying, which makes fixed filters unreliable. Adaptive filtering, on the other hand, updates in real time to sup…
Self-adjoint realizations of 2d-dimensional canonical systems and applications
Keshav Raj Acharya, Andrei Ludu
This paper studies linear relations and their self-adjoint realizations arising from 2d-dimensional canonical systems, with a focus on how the symplectic structure interacts with b…
Remling's Theorem for vector-valued discrete Schrodinger operators
Keshav Raj Acharya
This paper extends Remling's Theorem to vector-valued discrete Schrodinger operators, showing that the ω limit points of the matrix potentials, under the shift map, are reflectionl…
Liouville soliton surfaces obtained using Darboux transformations
S. C. Mancas, K. R. Acharya, H. C. Rosu
In this paper, Liouville soliton surfaces based on some soliton solutions of the Liouville equation are constructed and displayed graphically, including some of those corresponding…
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…
Compact linear relations and their spectral properties
Keshav Raj Acharya, Matt McBride
In this paper, we study compact linear relations and establish that the spectrum of compact linear relations consists of only the point spectrum and the zero set under suitable con…
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.
An Alternate Proof of De Branges Theorem on Canonical Systems
Keshav Raj Acharya
The aim of this paper is to show that, in the limit circle case, the defect index of a symmetric relation induced by canonical systems, is constant on C. This provides an alternati…