English

Almost diagonalization of $\Psi$DO's over various generalized function spaces

Functional Analysis 2024-02-29 v1

Abstract

Inductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a framework for almost diagonalization of pseudo-differential operators. Moreover, recent results of the first author and B. Prangoski related to the almost diagonalization of pseudo-differential operators in the context of H\"ormander metrics are reviewed.

Keywords

Cite

@article{arxiv.2402.18341,
  title  = {Almost diagonalization of $\Psi$DO's over various generalized function spaces},
  author = {Stevan Pilipović and Nenad Teofanov and Filip Tomić},
  journal= {arXiv preprint arXiv:2402.18341},
  year   = {2024}
}
R2 v1 2026-06-28T15:03:16.979Z