Research Papers 📝

Note: The chronological order refers to the sequence in which the work was uploaded on arXiv.

A note on kernel functions of Dirichlet spaces, co-authored with S. Gehlawat and A.D. Sarkar. ArXiv identifier is 2402.07457.
Weighted Szeg\H{o} kernels on planar domains, co-authored with K. Verma. Submitted to a journal and arXiv identifier is 2308.07021.
Weighted Bergman kernels on planar domains, co-authored with K. Verma. Submitted to a journal and arXiv identifier is 2210.00219.
The reduced Bergman kernel and its properties, co-authored with S. Gehlawat and A.D. Sarkar. International J. of Mathematics (IJM) 34 (2023), no. 3, Paper No. 2350015, 23 pp. DOI is 10.1142/S0129167X23500155 and arXiv identifier is 2209.04850.
Transformation formula for the reduced Bergman kernel and its application, co-authored with S. Gehlawat and A.D. Sarkar. Analysis Mathematica 48 (2022), no. 4, 1055–1068. DOI is 10.1007/s10476-022-0136-8 and arXiv identifier is 2106.07295.