PreprintCC BY 4.0HAL
A note on power saturation in one-dimensional spaces
Abstract
In this note, we study the power and cone saturations of finite-dimensional spaces of sine and cosine functions in the spectral Sobolev spaces of (0, 1) with Neumann or Dirichlet boundary conditions. As an application, we obtain small-time approximate controllability of the cubic Schrödinger equation.
Related
- A note on power spaces and function spaces of strongly well-filtered spaces
- A note on the boundedness of the multidimensional Katugampola operator in Campanato spaces
- A Note on Hardy Spaces on Polyhedral Tube Domains
- A note on surjective endomorphisms of Smale spaces
- A short note about the spaces BVs(Rn)
BibTeX
@misc{parada2026note,
title = {{A note on power saturation in one-dimensional spaces}},
author = {Hugo Parada},
howpublished = {HAL},
year = {2026},
month = oct,
url = {https://hal.science/hal-05828713v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A note on power saturation in one-dimensional spaces
AU - Hugo Parada
PY - 2026
DA - 2026/10/21
PB - HAL
UR - https://hal.science/hal-05828713v1
AB - In this note, we study the power and cone saturations of finite-dimensional spaces of sine and cosine functions in the spectral Sobolev spaces of (0, 1) with Neumann or Dirichlet boundary conditions. As an application, we obtain small-time approximate controllability of the cubic Schrödinger equation.
ER -