C. Sahu

works on

abscissa of convergence 1 dirichlet series 1 hilbert spaces 1 multiplier algebra 1 prime factorization 1

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math.FA2026

Unbounded Toeplitz operators and finite rank de Branges-Rovnyak spaces

Soumitra Ghara, MD Ramiz Reza, Chaman Kumar Sahu

Motivated by the recent developments of de Branges-Rovnyak spaces, we investigate the function theoretic aspects of finite rank de Branges-Rovnyak spaces $H (B)$ generated by row-va…

math.FA2026

Helson matrices induced by measures

Sameer Chavan, Chaman Kumar Sahu, Kalyan B. Sinha

We discuss the boundedness, Schatten-class properties and scattering theory of Helson matrices. We also discuss a class of Helson matrices induced by positive and signed measures.…

math.FA2025

Nevanlinna-Pick interpolation in the right half-plane

Sameer Chavan, Chaman Kumar Sahu

The SzegÃ¶-Dirichlet kernel of the right half-plane $H_{1/2}$ is given by $ϰ (s, u) = I^¶ (s + u),$ $s, u \in H_{1/2},$ where $I^¶$ denotes the Riema…