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math.FA2025
Robustness of infinite frames and Besselian structures
Shankhadeep Mondal, Geetika Verma, Ram Narayan Mohapatra
This paper extends the concepts of Minimal Redundancy Condition (MRC) and robustness of erasures for infinite frames in Hilbert spaces. We begin by establishing a comprehensive fra…
math.FA2020
Optimal splitting of Parseval frames using Walsh matrices
Amie Albrecht, Phil Howlett, Geetika Verma
In 2014 Adam Marcus, Daniel Spielman and Nikhil Srivastava used random vectors to prove a key discrepancy theorem and in so doing gave a positive answer to the long-standing Kadiso…
math.FA2020
Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity
Amie Albrecht, Phil Howlett, Geetika Verma
We assume that the generalized resolvent for a bounded linear operator pencil mapping one Banach space onto another has an isolated essential singularity at the origin and is analy…