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P. Muthukumar
PhD, (Indian Statistical Institute, Chennai)
Assistant Professor, Department of Mathematics and Statistics
Research Interest
Complex Analysis and Operator Theory
Education
PhD, Mathematics (2013–2019) Indian Statistical Institute, Chennai
M.Sc. Mathematics (2010–2012) Indian Institute of Technology Madras, Chennai
B.Sc. Mathematics (2007–2010) Arulmigu Palaniandavar College of Arts and Culture, Madurai Kamaraj University, Tamil Nadu
Selected Publications
Snehasish Bose, P. Muthukumar and Jaydeb Sarkar, Beurling type invariant subspaces of composition operators, J. Operator Theory, 86 (2), 2021, 425--438.
P. Muthukumar and S. Ponnusamy, Composition operators on Hardy spaces of the homogenous rooted trees, Monatsh. Math. 192 (3), 2020, 721--743.
P. Muthukumar and S. Ponnusamy, Weighted composition operators on the class of subordinate functions, Rocky Mountain J. Math. 48 (6), 2018, 2055--2068.
P. Muthukumar, S. Ponnusamy and Herve Queffelec, Estimate for norm of a composition operator on the Hardy-Dirichlet space, Integral Equations and Operator Theory 90 (1), 2018, Art. 11, 12pp.
P. Muthukumar and S. Ponnusamy, Composition operators on the discrete Hardy space on homogenous trees, Bull. Malays. Math. Sci. Soc. 40 (4), 2017, 1801--1815.
P. Muthukumar and S. Ponnusamy, Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees, Anal. Math. Phys. 7 (3), 2017, 267--283.
Awards & Fellowships
P. K. Jain Award by Indian Mathematical Society in 2021
Laureates of the CIMPA-CRM programme in 2019
CSIR-Shyama Prasad Mukherjee (SPM) Fellowship in 2012
Prof. L. K. Chetty Memorial Endowment Prize in 2010
Proficiency Prize of Madurai Kamaraj University in 2010