Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators
DOI10.1007/s00041-021-09843-0zbMath1475.32005arXiv1905.07741OpenAlexW3158152300MaRDI QIDQ2036540
Publication date: 29 June 2021
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07741
semiclassical approximationsymbolic calculusToeplitz quantizationpolyanalytic functionsBargmann transformSobolev-Fock space
Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) General quantum mechanics and problems of quantization (81Sxx)
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