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Author Cohen, Leon, 1940-
Title The Weyl Operator and its generalization [electronic resource] / Leon Cohen.
Publication Info. Basel ; New York : Springer, 2013.
Location Call No. Status Notes
 Libraries Electronic Books  ELECTRONIC BOOKS-DDA    AVAIL. ONLINE
Description 1 online resource.
Series Pseudo-differential operators, theory and applications ; v. 9.
Contents Introduction and Terminology -- Operator Algebra -- The Weyl Operator -- Generalized Operator Association -- Generalized Phase-Space Distributions -- Special Cases -- Unitary Transformation -- Path Integral Approach -- Time-Frequency Operators -- Transformation of Differential Equations Into Phase Space -- The Eigenvalue Problem in Phase-Space -- Arbitrary Operators: Single Operator -- Uncertainty Principle for Arbitrary Operators -- The Khintchine Theorem and Characteristic Function Representability -- Arbitrary operators: Two Operators.
Bibliography Includes bibliographical references and index.
Reproduction Electronic reproduction. Perth, W.A. Available via World Wide Web.
Note Description based on print version record.
Contents Introduction -- The Fundamental Idea, Terminology, and Operator Algebra -- The Weyl Operator -- The Algebra of the Weyl Operator -- Product of Operators, Commutators, and the Moyal Sin Bracket -- Some Other Ordering Rules -- Generalized Operator Association -- The Fourier, Monomial, and Delta Function Associations -- Transformation Between Associations -- Path Integral Approach -- The Distribution of a Symbol and Operator -- The Uncertainty Principle -- Phase-Space Distributions -- Amplitude, Phase, Instantaneous Frequency, and the Hilbert Transform -- Time -- Frequency Analysis -- The Transformation of Differential Equations into Phase Space -- The Representation of Functions -- The N Operator Case.
Subject Generalized spaces.
Mathematical physics.
Added Author Ebooks Corporation
Related To Print version: Cohen, Leon. Weyl Operator and its generalization. Basel ; London : Springer, 2013 9783034802932
ISBN 9783034802949 (electronic bk.)
3034802943 (electronic bk.)
9783034802932
3034802935
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