We introduce an extended class of cross-Toeplitz operators which act between Fock--Segal--Bargmann spaces with different weights. It is natural to consider these operators in the framework of ...

Part of Proceedings, 12th Workshop on Geometric Methods in Physics: Quantization and Infinite-Dimensional Systems: Bialowieza, Poland, July 1-7, 1993, 3-7 The concrete model of the Fock space as an L ...

Abstract: On the Lebesgue space of the torus, this paper introduces the class of slant Toeplitz like operators. The solutions of an operator equation are used to describe these operators. Various ...

Important operator characteristics (such boundedness or compactness) for particular classes of operators on particular reproducing kernel Hilbert spaces may be impacted by the behaviour of the ...

The authors declare no conflicts of interest. [1] V. Bargmann, “On a Hilbert Space of Analytic Functions and an Associated Integral Transform, Part I ...

LUÍS DANIEL ABREU, NELSON FAUSTINO, ON TOEPLITZ OPERATORS AND LOCALIZATION OPERATORS, Proceedings of the American Mathematical Society, Vol. 143, No. 10 (OCTOBER 2015), pp. 4317-4323 ...

This is a preview. Log in through your library . Abstract We study the asymptotic expansion of the product of two Toeplitz operators on the Fock space. In comparison to earlier results we require ...

The main ingredient in the proof is the micro-local analysis of the equivariant Szegő kernels. As a particular case we obtain a simple approach for asymptotics of the Lefschetz fixed point formula and ...

Department of Mathematics, Pusan Mecanical Technical High School, Woo 1-Dong, San 114-1, Haeundagu, Pusan, 612-021, South Korea ...

Two of the available operators use an implementation that forms a vector of the elements of the first row and column and indexes out the subsets corresponding to the rows as needed. One of these ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel’s theorem [5]. We prove Boutet de Monvel’s theorem as a corollary of Bott periodicity, ...