3 citations · 3 across the 10 of their papers we have counts for
10 papers
Noncommutative Maximal Ergodic Theorems for Modulated -Averages with Operator-Valued Weights
Arup Chattopadhyay, Debabrata De, Disha Shaw
In this paper, we study modulated -ergodic averages with operator-valued weights and their subsequential versions in the setting of semifinite von Neumann algebras. Our fram…
Invariance Preserving Conjugations on the Hardy Space
Arup Chattopadhyay, Supratim Jana
We obtain a complete characterization of the class of conjugation operators on that map shift-invariant subspaces to shift-invariant subspaces. Alongside, we also obtain…
Isometric Embeddability of Schatten Classes Revisited
Arup Chattopadhyay, Chandan Pradhan, Anna Skripka
In this note, we summarize known results and open questions on the existence of isometric embeddings between different Schatten classes. We also provide a brief overview of the rel…
Restricted Toeplitz and Hankel Operators
Priyanka Aroda, Arup Chattopadhyay, Supratim Jana
We introduce and systematically study a class of operators that arise naturally due to the Beurling decomposition of the Hardy space . While the compressions of…
Noncommutative -differentiability and trace formulae
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
Let be a semifinite von Neumann algebra equipped with a normal faithful semifinite trace , and let denote the associated noncommutative -sp…
Near Invariance of The Dual Compressed Shift
Arup Chattopadhyay, Supratim Jana
We present the notion of the nearly dual compressed shift-invariant subspaces of the orthogonal complement of the model space and obtain their structure using Hitt's algorithm \cit…
Dual Truncated Hankel Operators: Characterizations and Properties
Arup Chattopadhyay, Supratim Jana
We introduce the notion of the Dual Truncated Hankel Operator (DTHO) and provide several operator equation characterizations using the dual compressed shift operator. These charact…
Kernels of Perturbed Hankel Operators
Arup Chattopadhyay, Supratim Jana
In the classical Hardy space , it is well-known that the kernel of the Hankel operator is invariant under the action of shift operator S and sometimes nearly invar…
Uniqueness of the Fourier transform on the Euclidean motion group
A. Chattopadhyay, D. K. Giri, R. K. Srivastava
In this article, we prove that if the Fourier transform of a certain integrable function on the Euclidean motion group is of finite rank, then the function has to vanish identicall…
Uniqueness of the group Fourier transform on certain nilpotent Lie groups
A. Chattopadhyay, D. K. Giri, R. K. Srivastava
In this article, we prove that if the group Fourier transform of certain integrable functions on the Heisenberg motion group (or step two nilpotent Lie groups) is of finite rank, t…