Displaying similar documents to “The nonrelativistic limit for the Weyl quantized Hamlitonians and pseudo-differential operators.”

The Weyl correspondence as a functional calculus

Josefina Alvarez (2000)

Banach Center Publications

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The aim of this paper is to use an abstract realization of the Weyl correspondence to define functions of pseudo-differential operators. We consider operators that form a self-adjoint Banach algebra. We construct on this algebra a functional calculus with respect to functions which are defined on the Euclidean space and have a finite number of derivatives.

Pseudo shift operators with large images

M. C. Calderón-Moreno (2002)

Colloquium Mathematicae

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We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.