Work

Strong approximation of special functions of bounded variation functions with prescribed jump direction

Year: 2024

Type: article

Abstract: In this note, we show that special functions of bounded variation ( functions with jump normal lying in a prescribed set of directions can be approximated by sequences of functions whose jump set is essentially closed, polyhedral, and preserves the orthogonality to , moreover the functions are smooth away from their jump set.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.202300346

Authors: Giuliano Lazzaroni, Piotr Wozniak, Caterina Ida Zeppieri

Institutions: University of Florence, University of Münster

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,300

Funders: Deutsche Forschungsgemeinschaft, Ministero dell'Università e della Ricerca, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni