Anisotropic Wavelet Frames and Operator Analysis in Canonical Domains

  • Ishtiyaq Ahmad
  • Fatema Al Najim

Abstract

We develop a concise framework for wavelet frames in the non-separable canonical domain on Rn. Using symplectic transformations, we derive frame conditions, analyze associated operators, and establish new uncertainty principles. Examples and visualizations illustrate the enhanced localization and anisotropy offered by canonical wavelet systems.

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Published
2026-04-27
Section
Conf. Issue: Applied Mathematics and Computing (ICAMC-25)