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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...
The goal of this article is to come up with interpretation of quantum phenomena that is both local and deterministic. This is done by the means of envoking two different metrics, $g_o$ and $g_s$. Thes...
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...