Manish Kumar

collaborators

3 papers

math.OA2024

KMS states on quantum Cuntz-Krieger algebras

Manish Kumar, Mateusz Wasilewski

We study the KMS states on local quantum Cuntz-Krieger algebras associated to quantum graphs. Using their isomorphism to the Cuntz-Pimsner algebra of the quantum edge correspondenc…

math.RA2024

Constructing Multiresolution Analysis via Wavelet Packets on Sobolev Space in Local Fields

Manish Kumar

We define Sobolev spaces $H^{s} (K_{q})$ over a local field $K_{q}$ of finite characteristic $p > 0$ , where $q = p^{c}$ for a prime $p$ and $c \in N$ . This paper introduces…

math.CV2022

Normality through sharing of pairs of functions with derivatives

Kuldeep Singh Charak, Manish Kumar, Anil Singh

Let $F \subset M (D)$ and let $a, b$ and $c$ be three distinct complex numbers. If, there exist a holomorphic function $h$ on $D$ and a positive constant $ρ$ such…