38 citations · 236 across the 26 of their papers we have counts for
21 papers · 1 filter
Weyl and Browder S-spectrums in a right quaternionic Hilbert space
B. Muraleetharan, K. Thirulogasanthar
In this note first we study the Weyl operators and Weyl S-spectrum of a bounded right quaternionic linear operator, in the setting of the so-called S-spectrum, in a right quaternio…
Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it
K. Thirulogasanthar, B. Muraleetharan
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that various classes of coherent states such as the canonical coherent states, pure…
Squeezed states in the quaternionic setting
K. Thirulogasanthar, B. Muraleetharan
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that pure squeezed states can be defined with all the desired properties on a right…
S-Spectrum and the quaternionic Cayley transform of an operator
B. Muraleetharan, I. Sabadini, K. Thirulogasanthar
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number i…
A Representation of Weyl-Heisenberg Lie Algebra in the Quaternionic Setting
B. Muraleetharan, K. Thirulogasanthar, I. Sabadini
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momentum operators on a right quaternionic Hilbert space are defined in complete anal…
Discretization of quaternionic continuous wavelet transforms
A. Askari Hemmat, K. Thirulogasanthar, A. Krzyzak
A scheme to form a basis and a frame for a Hilbert space of quaternion valued square integrable function from a basis and a frame, respectively, of a Hilbert space of complex value…