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ArticleOriginal scientific text

Title

The Weyl correspondence as a functional calculus

Authors 1

Affiliations

  1. Department of Mathematics, New Mexico State University, Las Cruces, NM 88003-8001, U.S.A.

Abstract

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.

Bibliography

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Banach Center Publications
2000/53/1
Export to PBN, Opens in new tab
Pages:
79-88
Main language of publication
English
Published
2000
Exact and natural sciences