3 papers
math.FA2026
The Quaternion Boostlet Transform: Definition, Properties and Uncertainty Principles
Owais Ahmad, Jasifa Fayaz
In this article, we introduce the notion of Quaternion Boostlet Transform (QBT), a hypercomplex framework designed to unify the analysis of multi-component wavefields by merging th…
math.FA2018
Construction of -stage Nonuniform Wavelets on Local Fields
Owais Ahmad, F. A. Shah
Shah and Abdullah [Complex Analysis Operator Theory, 9 (2015), 1589-1608] have introduced a generalized notion of nonuniform multiresolution analysis (NUMRA) on local field of…
math.FA2017
Biorthogonal Wavelets on the Spectrum
Owais Ahmad, F. A. Shah
A generalization of Mallat's classic theory of multiresolution analysis based on the theory of spectral pairs was considered by Gabardo and Nashed (J. Funct. Anal. 158, 209-241, 19…