33 citations · 115 across the 20 of their papers we have counts for
20 papers
Sampling and Density Theorems for the Fractional Opdam-Cherednik Transform
Riya Ghosh, Anirudha Poria
In this paper, we establish sampling and density results for the fractional Opdam-Cherednik transform. Using the Sturm-Liouville structure of Jacobi functions, we construct a Riesz…
The heat semigroup associated with the Jacobi--Cherednik operator and its applications
Anirudha Poria, Ramakrishnan Radha
In this paper, we study the heat equation associated with the Jacobi--Cherednik operator on the real line. We establish some basic properties of the Jacobi--Cherednik heat kernel a…
Localization operators on discrete Orlicz modulation spaces
Aparajita Dasgupta, Anirudha Poria
In this paper, we introduce Orlicz spaces on and Orlicz modulation spaces on , and study inclusion relations, convolution relations,…
Uncertainty principles for the short-time Fourier transform on the lattice
Anirudha Poria, Aparajita Dasgupta
In this paper, we study a few versions of the uncertainty principle for the short-time Fourier transform on the lattice . In particular, we establis…
Localization Operators On Discrete Modulation Spaces
Aparajita Dasgupta, Anirudha Poria
In this paper, we study a class of pseudo-differential operators known as time-frequency localization operators on , which depend on a symbol and two windows funct…
Hausdorff operators associated with the Opdam--Cherednik transform in Lebesgue spaces
Shyam Swarup Mondal, Anirudha Poria
In this paper, we introduce the Hausdorff operator associated with the Opdam--Cherednik transform and study the boundedness of this operator in various Lebesgue spaces. In particul…
Weighted Norm Inequalities for the Opdam--Cherednik Transform
Shyam Swarup Mondal, Anirudha Poria
In this paper, we study several weighted norm inequalities for the Opdam--Cherednik transform. We establish different versions of the Heisenberg--Pauli--Weyl inequality for this tr…
Uncertainty principles for the windowed Opdam--Cherednik transform
Shyam Swarup Mondal, Anirudha Poria
In this paper, we study a few versions of the uncertainty principle for the windowed Opdam--Cherednik transform. In particular, we establish the uncertainty principle for orthonorm…
Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces
Shyam Swarup Mondal, Anirudha Poria
The aim of this paper is to establish a few qualitative uncertainty principles for the windowed Opdam-Cherednik transform on weighted modulation spaces associated with this transfo…
Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces
Anirudha Poria
In this paper, we study a class of pseudodifferential operators known as time-frequency localization operators, which depend on a symbol and two windows functions and $g_…
Uncertainty principles for the Opdam-Cherednik transform on modulation spaces
Anirudha Poria
In this paper, we establish the Cowling--Price's, Hardy's and Morgan's uncertainty principles for the Opdam-Cherednik transform on modulation spaces associated with this transform.…
Uncertainty Principles for the Fourier and the Short-Time Fourier Transforms
Anirudha Poria
The aim of this paper is to establish a few uncertainty principles for the Fourier and the short-time Fourier transforms. Also, we discuss an analogue of Donoho--Stark uncertainty…
Positive Weight Function and Classification of g-Frames
Anirudha Poria
Given a positive weight function and an isometry map on a Hilbert spaces , we study a class of linear maps which is a -frame, -Riesz basis and a -orthonormal…
Semi-continuous g-frames in Hilbert spaces
Anirudha Poria
In this paper, we introduce the concept of semi-continuous -frames in Hilbert spaces. We first construct an example of semi-continuous -frames using the Fourier transform of…
Balian-Low type theorems on
Anirudha Poria, Jitendriya Swain
In this paper we prove amalgam Balian-Low theorems and Balian-Low type theorems on for the special Hermite operator using the Weyl transform.
On a problem by Hans Feichtinger
Radu Balan, Kasso A. Okoudjou, Anirudha Poria
In this paper, we solve a spectral problem about positive semi-definite trace-class pseudodifferential operators on modulation spaces which was posed by H. Feichtinger. Later, C. H…
Approximation of the Inverse Frame Operator and Stability of HilbertSchmidt Frames
Anirudha Poria
In this paper, we study the HilbertSchmidt frame (HS-frame) theory for separable Hilbert spaces. We first present some characterizations of HS-frames and prove that HS-frames sh…
Some Identities and Inequalities for Hilbert-Schmidt Frames
Anirudha Poria
In this paper we establish Parseval type identities and surprising new inequalities for Hilbert-Schmidt frames. Our results generalize and improve the remarkable results which have…
Hilbert space valued Gabor frames in weighted amalgam spaces
Anirudha Poria, Jitendriya Swain
Let be a separable Hilbert space. In this paper we establish a generalization of Walnut's representation and Janssen's representation of the valued Gabor…
Behavior of Gabor frame operators on Wiener amalgam spaces
Anirudha Poria
It is well known that the Gabor expansions converge to identity operator in weak* sense on the Wiener amalgam spaces as sampling density tends to infinity. In this paper we prove t…