Non-isotropic angular Stockwell transform and the associated uncertainty principles

FA Shah, AY Tantary - Applicable Analysis, 2021 - Taylor & Francis
For an efficient and directional representation of signals in higher dimensions, we propose
the non-isotropic angular Stockwell transform in the context of time-frequency analysis. The …

A note on weaving fusion frames

A Bhandari - arXiv preprint arXiv:2409.01288, 2024 - arxiv.org
Fusion frames are widely studied for their applications in recovering signals from large data.
These are proved to be very useful in many areas, such as, distributed processing, wireless …

[HTML][HTML] Orthogonality of a pair of frames over locally compact abelian groups

A Gumber, NK Shukla - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this article, we provide necessary and sufficient conditions for the orthogonality of two
Bessel families when such families have the form of generalized translation invariant (GTI) …

[HTML][HTML] Pairwise orthogonal frames generated by regular representations of LCA groups

A Gumber, NK Shukla - Bulletin des Sciences Mathématiques, 2019 - Elsevier
Having potential applications in multiplexing techniques and in the synthesis of frames,
orthogonality (or strongly disjointness) plays a significant role in frame theory (eg …

Finite Dual -Framelet Systems Associated with an Induced Group Action

A Gumber, NK Shukla - Complex Analysis and Operator Theory, 2019 - Springer
In this article, we first induce an action of a topological group GG on ℓ^ 2 (Z _N^ d) ℓ 2 (ZN d)
from a given action of GG on the space CC of complex numbers. Then, for each g ∈ G g∈ …

Perturbations on K-fusion frames

A Bhandari, S Mukherjee - Journal of Applied Analysis, 2021 - degruyter.com
Fusion frames are widely studied for their applications in recovering signals from large data.
These are proved to be very useful in many areas, for example, wireless sensor networks. In …

Orthogonality and duality of frames over locally compact abelian groups

A Gumber, NK Shukla - arXiv preprint arXiv:1702.07473, 2017 - arxiv.org
Motivated by the recent work of Bownik and Ross\cite {BR}, and Jakobsen and Lemvig\cite
{JL}, this article generalizes latest results on reproducing formulas for generalized …