Work

$$\tau $$-quantization and $$\tau $$-Cohen classes distributions of Feichtinger operators

Year: 2024

Type: article

Abstract: We investigate the $$\tau $$ τ -quantizations and Cohen’s class distributions of a suitable class of trace-class operators, called Feichtinger’s operators, and show that it is a convenient substitute for the class of Schwartz operators. Many well-known concepts and results for functions in time-frequency analysis have an operator-analog in our setting, e.g. that Cohen’s classes are convolutions of Wigner functions with distributions or characterization of the class of Schwartz operators as an intersection of weighted variants of the class of Feichtinger operators.

Source: Journal of Pseudo-Differential Operators and Applications

DOI: 10.1007/s11868-024-00634-x

Authors: Federico Bastianoni, Franz Luef

Institution: Norwegian University of Science and Technology

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Norges Teknisk-Naturvitenskapelige Universitet