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Localization and Toeplitz Operators on Polyanalytic Fock Spaces
Localization operators polyanalytic Fock spaces Toeplitz operators Gel’fand-Shilov spaces
2011/9/19
Abstract: The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann...
The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces
Laguerre–Polya class linear operators stable polynomials Lee–Yang theorem Bargmann–Fock space preservers zero distribution
2011/8/31
Abstract: We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and the author ...
Fock Spaces, Landau Operators and the Regular Solutions of time-harmonic Maxwell equations
Fock Spaces Landau Operators time-harmonic Maxwell equations
2010/11/24
We investigate the solution representation for Maxwell equations based on the combination of hypercomplex function-theoretical methods with quantum mechanical methods. This gives a characterization f...
Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are radial and subject to a mild smoothness con...