Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle

DOI10.1007/3-540-30434-7_10zbMath1118.47020OpenAlexW2122846678MaRDI QIDQ5395346

Alexei G. Poltoratski, Nikolai Makarov

Publication date: 2 November 2006

Published in: Perspectives in Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-30434-7_10

zbMATH Keywords

injectivity problem for Toeplitz operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of ordinary differential operators (47E05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Multipliers in one variable harmonic analysis (42A45) Kernel functions in one complex variable and applications (30C40) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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