3 papers
math.FA2026
Gabor Orthonormal Bases with Maximal Localization and Gabor Frame Operator on Local Fields
Kumar Abhinav, Qaiser Jahan
We provide an explicit construction of a Gabor orthonormal bases for a local field that provides maximal localization in both time and frequency. Such a localization is not tru…
nlin.SI2026
Quasi-integrability from PT-symmetry
Kumar Abhinav, Partha Guha, Indranil Mukherjee
Parity and time-reversal (PT ) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models, crucial to represent real physical systems as they posse…
math.FA2025
Wavelet Coorbit Spaces over Local Fields
Kumar Abhinav, Hartmut Führ, Qaiser Jahan
This paper studies wavelet coorbit spaces on disconnected local fields , associated to the quasi-regular representation of acting on . We show that c…