A quantum injective frame is a frame capable of differentiating states based on their
respective frame measurements, whereas the quantum-detection problem associated with …

We consider the following questions: when do there exist quaternionic frames with given
frame spectrum and given frame vector norms? When such frames exist, is it always …

In this paper, we study the finite Gabor system for oversampling schemes. A characterization
of dual finite Gabor tight frame using discrete time Zak transform is given. Also, a method to …

Quaternionic Hilbert spaces have important applications in quantum physics and the frame
theory in quaternionic Hilbert spaces can handle many practical problems in physics. In this …

In this paper, we completely describe the closed range of bounded weighted composition
operator on the quaternionic Fock space\(\mathcal {F}^ 2 (\mathbb {H})\). This result further …

Motivated by recent advancements in the quantum detection problem employing both
discrete and continuous frames, this paper delves into a quantum detection problem utilizing …

In the present paper, we discuss some properties of K-frames in quaternionic Hilbert spaces
such as the invertibility of the frame operator as well as the interchangeability of two Bessel …

The aim of this work is to study (Multi-window) Gabor systems in the space\(\ell^ 2 (\mathbb
{Z}\times\mathbb {Z},\mathbb {H})\), denoted by $\mathcal {G}(g, L, M, N) $, and defined …

The aim of this paper is to study $ K $-frames for quaternionic Hilbert spaces. First, we
present the quaternionic version of Douglas's theorem and then investigate $ K $-frames for …

Quaternionic Hilbert spaces play an important role in applied physical sciences especially in
quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces …