38 citations · 236 across the 26 of their papers we have counts for
4 papers · 1 filter
Deficiency Indices of Some Classes of Unbounded -Operators
B. Muraleetharan, K. Thirulogasanthar
In this paper we define the deficiency indices of a closed symmetric right -linear operator and formulate a general theory of deficiency indices in a right quaternionic…
On the dimensions of oscillator-like algebras induced by orthogonal polynomials: non-symmetric case
G. Honnouvo, K. Thirulogasanthar
There is a generalized oscillator-like algebra associated with every class of orthogonal polynomials , on the real line, satisfying a four term non-symme…
Generalized 2D Laguerre polynomials and their quaternionic extensions
Nasser Saad, K. Thirulogasanthar
The analogous quaternionic polynomials of a class of bivariate orthogonal polynomials (arXiv: 1502.07256, 2014) introduced. The ladder operators for these quaternionic polynomials…
S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces
M. Khokulan, K. Thirulogasanthar, B. Muraleetharan
As needed for the construction of rank continuous frames on a right quaternionic Hilbert space the so-called S-spectrum of a right quaternionic operator is studied. Using the S…