The Gibbs Invariant: Energy Concentration and Radius Budget Theorems for Fourier Representations of Piecewise-Smooth Signals

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Dionisio Alberto Lopez III
DOI: 10.5281/zenodo.18869127
Cited by: 0

Abstract

Computable invariants for Fourier approximations of piecewise-smooth periodic signals with jump discontinuities. Includes theorem statements, technical expositions, numerical verification, and reproducible figure generation via gibbs_invariant.py.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Approximation Theory and Sequence Spaces Mathematical and Computational Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
5 March 2026
Language
EN