## Dr. Nikhil Khanna

## Wavelet Analysis, Integral Transforms, Frame Theory

Research interest:

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.

Publications:

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.