Work

e-product of distributions, with applications

Year: 2025

Type: article

Abstract: We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of some distributions arising when looking to the (generalized) eigenvalues of a specific non-self-adjoint number-like operator, considered in connection with the recently introduced weak pseudo-bosons. Several examples are discussed in details.

Source: Zeitschrift für angewandte Mathematik und Physik

DOI: 10.1007/s00033-025-02448-3

Author: F. Bagarello

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Catania, University of Palermo

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Palermo