Pseudo-differential operators with isotropic symbols, Wick and anti-Wick operators, and hypoellipticity
DOI10.1016/j.matpur.2022.09.002OpenAlexW3135434672MaRDI QIDQ2085757
Nenad Teofanov, Joachim Toft, Patrik Wahlberg
Publication date: 19 October 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.00313
hypoellipticityGelfand-Shilov spacesBargmann transformanti-Wick operatorsWick operatorsShubin symbols
Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Special families of functions of several complex variables (32A17) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bilinear pseudo-differential operators with Gevrey-Hörmander symbols
- Quasianalytic Gelfand-Shilov spaces with application to localization operators
- Quantum coherent operators: A generalization of coherent states
- The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
- Spaces of test functions via the STFT
- Images of function and distribution spaces under the Bargmann transform
- Wick and anti-Wick characterizations of linear operators on spaces of power series expansions
- Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
- Pseudo-differential calculus in anisotropic Gelfand-Shilov setting
- Pseudo-differential operators in a Gelfand-Shilov setting
- On a Hilbert space of analytic functions and an associated integral transform part I
- The stability of matter: from atoms to stars
- Integral bounds for radar ambiguity functions and Wigner distributions
- Harmonic Analysis in Phase Space. (AM-122)
- Espaces fonctionnels associés au calcul de Weyl-Hörmander
- Conormal distributions in the Shubin calculus of pseudodifferential operators
- Quantum Theory for Mathematicians
- Pseudo-differential calculus in a Bargmann setting
- On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
- The Evaluation of the Collision Matrix
- Fourier characterizations and non-triviality of Gelfand-Shilov spaces, with applications to Toeplitz operators
This page was built for publication: Pseudo-differential operators with isotropic symbols, Wick and anti-Wick operators, and hypoellipticity