English

Pandey-Upadhyay's wavelet transform and microlocal Sobolev singularities of functions

Functional Analysis 2025-02-21 v1

Abstract

The aim of the paper is to define the microlocal Sobolev singularities of functions using Pandey-Upadhyay's wavelet transform and provide a comparison with H\"ormander's microlocal singularities.

Keywords

Cite

@article{arxiv.2502.14832,
  title  = {Pandey-Upadhyay's wavelet transform and microlocal Sobolev singularities of functions},
  author = {Akira Lee and Shinya Moritoh},
  journal= {arXiv preprint arXiv:2502.14832},
  year   = {2025}
}