13 citations · 15 across the 17 of their papers we have counts for
20 papers
Pointwise Ergodic Theorems Along Reiter Sequences on Locally Compact Groups
Panchugopal Bikram, Sudipta Kundu, Hariharan G +1
Let be a locally compact, second countable group admitting a Reiter sequence, and suppose that acts on a von Neumann algebra equipped with a semifinite trace…
Non-Commutative Wiener-Wintner theorem for amenable group actions
Panchugopal Bikram, Sudipta Kundu, Hariharan G
Let be a locally compact, second countable, amenable group acting on a finite von Neumann algebra by trace-preserving automorphisms. In this article, we estab…
Non-Commutative Maximal Inequalities for State-Preserving Actions of amenable groups
Panchugopal Bikram, Hariharan G, Sudipta Kundu +1
In this article, we establish maximal inequalities and deduce ergodic theorems for state-preserving actions of amenable, locally compact, second-countable groups on tracial non-com…
Maximal inequalities for square functions and quantitative mean ergodic theorems associated to group metric measure spaces
Panchugopal Bikram, Diptesh Saha
In this article, we establish weighted strong and weak type inequalities for non-commutative square functions that naturally arise in the analysis of differences between ball avera…
Convergence of noncommutative spherical averages for actions of free groups
Panchugopal Bikram
In this article, we extend the Bufetov pointwise ergodic theorem for spherical averages of even radius for free group actions on noncommutative -space. Indeed, we extend i…
Connes' Bicentralizer Problem for Mixed -deformed Araki-Woods Algebras
Panchugopal Bikram
In this article, we show that the mixed -deformed Araki-Woods von Neumann algebra has trivial bicentralizer, whenever it is of type $\mathrm{III}…