Quantum Harmonic Analysis

This workshop intends to deepen existing connections and establish new ones between quantum harmonic analysis, the theory of Toeplitz operators on Bargmann-Fock spaces and Bergman spaces, mathematical physics, quantum information, machine learning, and time-frequency analysis.

Background summary:
Quantum harmonic analysis emerged from the article Quantum harmonic analysis in phase space, J. Math. Phys., 25(5):1404–1411, 1984 by R. F. Werner. The theory is based on the key insight that the analogs of Wiener’s approximation theorem for L-p spaces hold for certain operators (Schatten class operators). For the theory to work, the following extensions of classical concepts for functions are needed:
(1) Banach spaces for operators
(2) A translation for operators
(3) A convolution for operators
(4) A Fourier transform for operators
These concepts shall be re-called in introductory lectures.

Coming soon.

Organizers

Name Affiliation
Markus Faulhuber University of Vienna
Hans G. Feichtinger University of Vienna
Franz Luef Norwegian University for Science and Technology

Attendees

Name Affiliation
Md Hasan Ali Biswas Indian Institute of Science Bangalore
Carlos Cabrelli University of Buenos Aires
Elena Cordero University of Torino
Maurice de Gosson Acoustics Research Institute
Vishwa Dewage Clemson University
Monika Dörfler University of Vienna
Ulrik Enstad University of Oslo
Jean Pierre Gazeau Université Paris-Cité
Gianluca Giacchi Università della Svizzera Italiana
Michael Gjertsen Norwegian University for Science and Technology
Karlheinz Gröchenig University of Vienna
Anupam Gumber University of Vienna
Raffael Hagger Christian-Albrechts-Universität zu Kiel
Jukka Kiukas Aberystwyth University
Lukas Köhldorfer Acoustics Research Institute
Richard Küng Johannes Kepler Universität
Azita Mayeli City University of New York
Ursula Molter University of Buenos Aires
Eduard Ortega Norwegian University for Science and Technology
Margit Pap University of Pécs
Edoardo Pucci University of Torino
Federico Riccardi Politecnico di Torino
Helge Jørgen Samuelsen Norwegian University for Science and Technology
Norbert Schuch University of Vienna
Irina Shafkulovska University of Vienna
Michael Speckbacher Acoustics Research Institute
Erling Svela Norwegian University for Science and Technology
Johannes Testorf Norwegian University for Science and Technology
S. Ivan Trapasso Politecnico di Torino
Apostolos Vourdas University of Bradford
Hannes Wendt University of Oslo
At a glance
Type:
Workshop
When:
May 5, 2025 — May 9, 2025
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Markus Faulhuber (U of Vienna)
Hans G. Feichtinger (U of Vienna)
Franz Luef (NTNU, Trondheim)