Dr. Nikhil Khanna
Wavelet Analysis, Integral Transforms, Frame Theory
Fourier transforms, Hilbert transforms, Boas transforms, Zak transforms, wavelet transforms, wavelet packets and their applications. Study of Gabor systems for oversampling schemes. Uncertainty principles and Balian-Low theorems. Frame theory and its applications in the field of signal processing and sampling theory.
N. Khanna , J. H. Arredondo, L. Kathuria and S. K. Kaushik, An improved one point quadrature formula, Numer. Funct. Anal. Optim. 42 (2021), no. 2, 123-131.
N. Khanna , S. K. Kaushik and S. V. Djordjević, An interplay between parameter (p,q)-Boas transform and linear canonical transform, J. Pseudo-Differ. Oper. Appl. 12 (2021), no. 3, Paper No. 46, 19 pp.
N. Khanna , S. K. Kaushik and A. M. Jarrah, Some remarks on Boas transforms of wavelets, Integ. Transf. Special Funct. 31 (2020), no. 2, 107-117.